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Publications 1985-2008Steven Duplij |
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Publications 1985-2008Steven Duplij |
Old 'my pre-SUSY' publications
S. Duplij, W. Siegel, and J. Bagger (eds.), Concise Encyclopedia of Supersymmetry and Noncommutative Structures in Mathematics and Physics, Kluwer Academic Publishers, Dordrecht-Boston-London, 2004, 2nd printing, Springer Science and Business Media, Berlin-New York-Heidelberg, 2005.
S. Duplij and J. Wess (eds.), Noncommutative structures in mathematics and physics, Kluwer, Dordrecht, 2001 (Springer Science 2001).
S. Duplij, Semisupermanifolds and semigroups, Krok, Kharkov, 2000.
S. Duplij and V. G. Zima (eds.), Supersymmetric structures in mathematics and physics, UkrINTI, Kiev, 2000.
| [Dup08] | S. Duplij, Constraint systems and the clairaut equation, ITP Koeln preprint, arXiv:0804.2673, Cologne Univ., 2008, 11 p. |
| [DS08] | S. Duplij and S. Sinel'shchikov, Quantum enveloping algebras with von
Neumann regular Cartan-like generators and the Pierce decomposition, ITP Koeln preprint, arXiv:0804.1077, Cologne Univ., 2008, 16 p. |
| [DS07a] | S. Duplij and I. Shapoval, Quantum computations: Fundamentals and
algorithms, Problems Of Atomic Science And Technology (PAST-VANT, Kharkov) 3 (2007), no. 1, 230-235, arXiv:0712.1098. |
| [DK07] | S. Duplij and A. Kotvytskiy, Coincidence limit and generalized interaction
term structure in multigravity, J. Kharkov National Univ., ser. Nuclei,
Particles and Fields 784 (2007), no. 4(36), 67-72, arXiv:0712.0147. |
| [BD07] | A. Yu. Berezhnoy and S. Duplij, Dependence of nucleotide physical
properties in water on their placement in codons and determinative degree,
Biophysical Bull. Kharkov Univ. 18 (2007), no. 1, 29-47. |
| [DGS07c] | S. A. Duplij, G. A. Goldin, and V. M. Shtelen, Nonlinear supersymmetric
classical electrodynamics, J. Kharkov National Univ., ser. Nuclei, Particles
and Fields 781 (2007), no. 3(35), 37–-47. |
| [DS07b] | S. A. Duplij and I. I. Shapoval, Topological methods in quantum
computations, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 781 (2007), no. 3(35), 3-31. |
| [DGS07a] | S. Duplij, G. A. Goldin, and V. Shtelen, Lagrangian and non-Lagrangian
approaches to electrodynamics including supersymmetry, XXVI International
Workshop on Geometrical Methods in Physics, AIP Conference Proceedings 956
(Bialowieza, Poland, 1-7 July 2007) (P. Kielanowski, A. Odzijewicz,
M. Schlichenmeier, and T. Voronov, eds.), Springer Science, New York, 2007,
pp. 50–-54. |
| [DGS07b] | S. Duplij, G. A. Goldin, and V. M. Shtelen, Generalizations of nonlinear
and supersymmetric classical electrodynamics, Rutgers Univ. preprint, arXiv:0711.0404, Piscataway, 2007, 15 p., to appear in J.Phys. A: Math. and Gen. 2008. |
| [BDD06] | A. Borowiec, W. Dudek, and S. Duplij, Bi-element representations of
ternary groups, Comm. Algebra 34 (2006), 1651-1670,
arXiv:math.GT/0306210. |
| [DSS06] | S. A. Duplij, D. V. Soroka, and V. A. Soroka, A special fermionic
generalization of lineal gravity, J. Zhejiang Univ. Science 7A (2006),
no. 4, 629-632. |
| [DKM05] | S. A. Duplij, V. V. Kalashnikov, and E. A. Maslov, Quantum information,
qubits and quantum algorithms, J. Kharkov National Univ., ser. Nuclei,
Particles and Fields 657 (2005), no. 1(26), 103-108. |
| [DKS05a] | S. A. Duplij, O. I. Kotulska, and A. S. Sadovnikov, Constant solutions of
quantum Yang-Baxter equation over Grassmann algebra, J. Kharkov
National Univ., ser. Nuclei, Particles and Fields 657 (2005),
no. 1(26), 23-34. |
| [BD05] | A. Yu. Berezhnoy and S. Duplij, Dependence of nucleotide physical
properties on their placement in codons and determinative degree, J.
Zhejiang University. Science 6B (2005), no. 10, 948-960,
arXiv:0711.3932. |
| [DKS05b] | S. A. Duplij, O. I. Kotulska, and A. S. Sadovnikov, Quantum
Yang-Baxter equation and constant R-matrix over Grassmann algebra,
J. Zhejiang Univ. Science 6A (2005), no. 10, 1065-1079. |
| [DSS05] | S. A. Duplij, D. V. Soroka, and V. A. Soroka, Fermionic generalization of
lineal gravity in centrally extended formulation, J. Kharkov
National Univ., ser. Nuclei, Particles and Fields 664 (2005), no. 4, 23-29. |
| [DD05] | D. Duplij and S. Duplij, DNA sequence representation by trianders and
determinative degree of nucleotides, J. Zhejiang Univ. Science 6B (2005), no. 4, 743-755. |
| [DSB04] | S. Duplij, W. Siegel, and J. Bagger (eds.), Concise Encyclopedia of
Supersymmetry and Noncommutative Structures in Mathematics and
Physics, Kluwer Academic Publishers, Dordrecht-Boston-London, 2004, 2nd
printing, Springer Science and Business Media, Berlin-New York-Heidelberg,
2005. |
| [Dup04a] | S. Duplij, 130 articles in, Concise Encyclopedia of Supersymmetry and
Noncommutative Structures in Mathematics and Physics
(Dordrecht-Boston-London) (S. Duplij, W. Siegel, and J. Bagger, eds.), Kluwer
Academic Publishers, 2004, 2nd printing, Springer Science and Business Media,
Berlin-New York-Heidelberg, 2005. |
| [DL04] | S. Duplij and F. Li, Regular R-matrix and weak Hopf algebras, Karazin
Natural Science Studios (Kharkov), Kharkov National Univ., 2004,
pp. 177-181. |
| [Dup04b] | S. Duplij, Coderivations, covariant comodule maps and noncommutative
geometry, Karazin Natural Science Studios (Kharkov), Kharkov National Univ.,
2004, pp. 173-177. |
| [DD04] | D. Duplij and S. Duplij, DNA walks, trianders and determinative degree,
Karazin Natural Science Studios (Kharkov), Kharkov National Univ., 2004,
pp. 250-254. |
| [DP04] | S. A. Duplij and N. M. Pelykhaty, Characteristics of recoil atom
implantation profiles, Karazin Natural Science Studios (Kharkov), Kharkov
National Univ., 2004, pp. 44-49. |
| [BD04] | A. Yu. Berezhnoy and S. Duplij, Dependence of nucleotide physical
properties on placement in codons and their determinative degree, Karazin
Natural Science Studios (Kharkov), Kharkov National Univ., 2004,
pp. 207-208. |
| [DK04b] | S. A. Duplij and V. V. Kalashnikov, Quantum information, qubits and their
generalizations, Karazin Natural Science Studios (Kharkov), Kharkov National
Univ., 2004, pp. 169-171. |
| [DS04a] | S. Duplij and A. Sadovnikov, Structure of quantum linear semigroup with
regular quantization parameter, J. Kharkov National Univ., ser. Nuclei,
Particles and Fields 642 (2004), no. 3(25), 53-58. |
| [DK04a] | S. Duplij and O. Kotulska, Structure of supermatrix models, J. Kharkov
National Univ., ser. Nuclei, Particles and Fields 642 (2004),
no. 3(25), 45-49. |
| [DS04b] | S. Duplij and I. I. Shapoval, Decays of B meson, supersymmetry and
polarization, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 642 (2004), no. 3(25), 16-21. |
| [DK04c] | S. A. Duplij and A. T. Kotvytskiy, Lagrangians in nonlinear multigravity
models, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 642 (2004), no. 3(25), 123-127. |
| [Dup03] | S. Duplij, On supermatrix idempotent operator semigroups, Linear Algebra
Appl. 360 (2003), 59-81. |
| [DS03] | S. Duplij and A. Sadovnikov, On the structure of quantum linear
semigroup, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 601 (2003), no. 2(22), 32-40. |
| [DM03a] | S. Duplij and W. Marcinek, Braid semistatistics and doubly regular R-matrix, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 601 (2003), no. 2(22), 75-80, arXiv:math.QA/0403343. |
| [DK03] | S. A. Duplij and O. I. Kotulska, Quasideterminants, noncommutative
determinants and noninvertible supermatrix structures, J. Kharkov National
Univ., ser. Nuclei, Particles and Fields 585 (2003), no. 1(21), 19-27. |
| [DD03] | D. Duplij and S. Duplij, Determinative degree and nucleotide sequence
analysis by trianders, Kharkov National Univ. preprint,
arXiv:q-bio/0311014, Kharkov, 2003, 24 p. |
| [DM03b] | S. Duplij and W. Marcinek, Toposes and categories in quantum theory and
gravity, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 579 (2003), no. 4(20), 17-31. |
| [LD02] | F. Li and S. Duplij, Weak Hopf algebras and singular solutions of
quantum Yang-Baxter equation, Commun. Math. Phys. 225 (2002),
no. 1, 191-217, arXiv:math/0105064. |
| [BDD02] | A. Borowiec, W. Dudek, and S. Duplij, On basic concepts of ternary Hopf
algebras, Int. Conference on Clifford Algebras and their Applications in
Mathematical Physics (Cookeville), Tennnessee Tech. Inst., 2002, p. 40. |
| [DL02] | S. Duplij and F. Li, Hopf quivers, International Congress of
Mathematicians (Bejing), Acad. Sinica, 2002, p. 214. |
| [DM02b] | S. Duplij and W. Marcinek, Regular obstructed categories and TQFT, ITP preprint, arXiv:math.QA/0202216, Wroclaw, 2002, 22 p. |
| [DK02] | S. A. Duplij and O. I. Kotulska, Supermatrix structures and generalized
inverses, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 548 (2002), no. 1(17), 3-14. |
| [Dup02] | S. Duplij, Coderivations and codifferential calculi on finite groups, J.
Kharkov National Univ., ser. Nuclei, Particles and Fields 559 (2002),
no. 2(18), 16-24. |
| [DM02a] | S. Duplij and W. Marcinek, Regular obstructed categories and topological
quantum field theory, J. Math. Phys. 43 (2002), no. 6, 3329-3341. |
| [DS02] | S. Duplij and A. Sadovnikov, Regular supermatrix solutions for quantum
Yang-Baxter equation, J. Kharkov National Univ., ser. Nuclei, Particles
and Fields 569 (2002), no. 3(19), 15-22. |
| [DD01] | D. Duplij and S. Duplij, Determinative degree and nucleotide content of
DNA strands, Biophysical Bull. Kharkov Univ. 525 (2001), no. 1(8),
86-92. |
| [DW01] | S. Duplij and J. Wess (eds.), Noncommutative structures in mathematics and
physics, Kluwer, Dordrecht, 2001 (Springer 2001). |
| [DM01c] | S. Duplij and W. Marcinek, Regular graded algebras and obstructed
categories with duality, preprint, arXiv:math.QA/0107022, 2001, 13 p. |
| [Dup01a] | S. Duplij, Semigroups of supermatrices and one-parameter idempotent
superoperators, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 510 (2001), no. 1(13), 11-23. |
| [DF01] | S. Duplij and A. Frydryszak, Supersymmetry, nontrivial fermionic shell and
nilpotent mechanics, J. Kharkov National Univ., ser. Nuclei, Particles and
Fields 510 (2001), no. 1(13), 24-30. |
| [DM01a] | S. Duplij and W. Marcinek, Noninvertibility, semisupermanifolds and
categories regularization, Noncommutative Structures in Mathematics and
Physics (Dordrecht) (S. Duplij and J. Wess, eds.), Kluwer, 2001,
pp. 125-140, arXiv:math-ph/0012039. |
| [DL01a] | S. Duplij and F. Li, On regular solutions of quantum Yang-Baxter
equation and weak Hopf algebras, J. Kharkov National Univ., ser. Nuclei,
Particles and Fields 521 (2001), no. 2(14), 15-30. |
| [DM01b] | S. Duplij and W. Marcinek, On regular superalgebras and obstructed
categories, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 521 (2001), no. 2(14), 7-12. |
| [DM01d] | S. Duplij and W. Marcinek, Semisupermanifolds and regularization of
categories, modules, algebras and Yang-Baxter equation, Nucl. Phys.
Proc. Suppl. 102 (2001), 293-297, Int. Conference on Supersymmetry and
Quantum Field Theory: D.V. Volkov Memorial Conference, Kharkov, Ukraine, July
2000. |
| [DM01e] | S. Duplij and W. Marcinek, Semisupermanifolds and regularization of
categories, modules, algebras and Yang-Baxter equation, Supersymmetry
and Quantum Field Theory (Amsterdam), Elsevier Science Publishers, 2001,
pp. 110-115. |
| [BDD01] | A. Borowiec, W. Dudek, and S. Duplij, Basic concepts of ternary Hopf
algebras, J. Kharkov National Univ., ser. Nuclei, Particles and Fields 529 (2001), no. 3(15), 21-29, arXiv:math.QA/0306208. |
| [Dup01b] | S. Duplij, Ternary Hopf algebras, Symmetry in Nonlinear Mathematical
Physics (Kiev) (A. G. Nikitin and V. M. Boyko, eds.), Institute of
Mathematics, 2001, pp. 25-34. |
| [DL01b] | S. Duplij and F. Li, Regular solutions of quantum Yang-Baxter equation
from weak Hopf algebras, Czech. J. Phys. 51 (2001), no. 12,
1306-1311. |
| [DM00b] | S. Duplij and W. Marcinek, On higher regularity and monoidal categories,
Kharkov State University Journal (Vestnik KSU), ser. Nuclei, Particles and
Fields 481 (2000), no. 2(10), 27-30. |
| [DC00] | S. Duplij and M. Chursin, On structure of smooth semisupermanifolds,
Kharkov State University Journal (Vestnik KSU), ser. Nuclei, Particles and
Fields 481 (2000), no. 2(10), 22-26. |
| [DM00a] | S. Duplij and W. Marcinek, Higher regularity properties of mappings and
morphisms, Univ. Wroclaw preprint, IFT UWr 931/00,
arXiv:math-ph/0005033, Wroclaw, 2000, 12 p. |
| [DD00b] | D. Duplij and S. Duplij, Symmetry analysis of genetic code and
determinative degree, Biophysical Bull. Kharkov Univ. 488 (2000),
no. 1(6), 60-70. |
| [DDC00] | D. Duplij, S. Duplij, and N. Chashchin, Symmetric properties of genetic
code, Biopolymers and Cell 16 (2000), no. 6, 449-454. |
| [DD00c] | D. Duplij and S. Duplij, Symmetry analysis of genetic code and
determinative degree, Kharkov National Univ. preprint,
arXiv:physics/0006062, Kharkov, 2000, 11 p. |
| [DM00c] | S. Duplij and W. Marcinek, Semisupermanifolds and regularization of
categories, Supersymmetric Structures in Mathematics and Physics (Kiev)
(S. Duplij and V. G. Zima, eds.), UkrINTI, 2000, pp. 102-115. |
| [Dup00a] | S. Duplij, On supermatrix idempotent operator semigroups, Kharkov
National Univ. preprint, arXiv:math.FA/0006001, Kharkov, 2000, 11 p. |
| [BD+00] | G. Bayatyan, ..., S. Duplij, ..., and et.al., CMS: the TriDAS
project technical design report; v.1, the Trigger systems, CERN, Geneva,
2000. |
| [DD00a] | D. Duplij and S. Duplij, Purine-pyrimidine symmetry, determinative degree
and DNA, Kharkov National Univ. preprint,
arXiv:physics/0008231, Kharkov, 2000, 8 p. |
| [DZ00] | S. Duplij and V. G. Zima (eds.), Supersymmetric structures in mathematics
and physics, UkrINTI, Kiev, 2000. |
| [Dup00c] | S. Duplij, On TPT analogs of cocycles and deformations, Supersymmetries
and Quantum Symmetries (Dubna) (E. Ivanov, S. Krivonos, and A. Pashnev,
eds.), JINR, 2000, pp. 358-363. |
| [Dup00d] | S. Duplij, Semisupermanifolds and semigroups, Krok, Kharkov, 2000. |
| [Dup00b] | S. Duplij, On supermatrix operator semigroups, Quasigroups and Related
Systems 7 (2000), no. 1, 71-98. |
| [Dup99b] | S. Duplij, Semigroup methods in supersymmetric theories of elementary
particles, Habilitation Thesis, Kharkov National University, Kharkov, 1999,
arXiv:math-ph/9910045. |
| [Dup99c] | S. Duplij, Superconformal-like twisting parity morphisms, deformations and
odd cocycles, Kharkov State University Journal (Vestnik KSU), ser. Nuclei,
Particles and Fields 453 (1999), no. 3(7), 3-8. |
| [Dup99a] | S. Duplij, Noninvertibility and additional symmetries on hyperbic
superplane, Kharkov State University Journal (Vestnik KSU), ser. Nuclei,
Particles and Fields 463 (1999), no. 4(8), 3-6. |
| [Dup98a] | S. Duplij, Nonlinear realization of N=1 superconformal-like
transformations, Univ. Kaiserslautern preprint, KL-TH 98/02,
Kaiserslautern, 1998, 15 p. |
| [AD98] | V. P. Akulov and S. Duplij, Nilpotent marsh and SUSY QM,
Supersymmetries and Quantum Symmetries (Heidelberg) (J. Wess and E. A.
Ivanov, eds.), Springer-Verlag, 1998, pp. 235-242, arXiv:hep-th/9809089. |
| [ACD98] | V. P. Akulov, V. V. Chitov, and S. Duplij, q-Differential calculus and
deformed light-cone, Supersymmetry and Quantum Field Theory (Heidelberg)
(J. Wess and V. P. Akulov, eds.), Springer-Verlag, 1998, pp. 317-320. |
| [Dup98c] | S. Duplij, On superconformal-like transformations and their nonlinear
realization, Supersymmetries and Quantum Symmetries (Heidelberg) (J. Wess
and E. A. Ivanov, eds.), Springer-Verlag, 1998, pp. 243-251. |
| [Dup98b] | S. Duplij, On semi-supermanifolds, Pure Math. Appl. 9 (1998),
no. 3-4, 283-310. |
| [Dup98d] | S. Duplij, Superconformal-like transformations and nonlinear
realizations, Southwest J. Pure and Appl. Math. 2 (1998), 85-112. |
| [ADC98] | V. P. Akulov, S. Duplij, and V. V. Chitov, Differential calculus for q-deformed twistors, Theor. Math. Phys. 115 (1998), 513-519, Teor.
Mat. Fiz. 115 (1998) 177-184. |
| [Dup97c] | S. Duplij, Some abstract properties of semigroups appearing in
superconformal theories, Semigroup Forum 54 (1997), no. 2, 253-260,
arXiv:hep-th/9505179. |
| [Dup97b] | S. Duplij, Noninvertible N=1 superanalog of complex structure,
J. Math. Phys. 38 (1997), no. 2, 1035-1040. |
| [ACD97] | V. P. Akulov, V. V. Chitov, and S. Duplij, Differential calculus on q-deformed light-cone, Univ. Kaiserslautern preprint,
KL-TH-97/1, arXiv:q-alg/9701026, Kaiserslautern, 1997, 8 p. |
| [Dup97a] | S. Duplij, Continuous representations of semigroup bands by
supermatrices, Int. L.M. Gluskin Algebraic Conference, Slovyansk (Kiev)
(A. M. Samoilenko, ed.), Inst. Math., 1997, p. 30. |
| [Dup96a] | S. Duplij, Ideal structure of superconformal semigroups, Theor. Math.
Phys. 106 (1996), no. 3, 355-374. |
| [Dup96c] | S. Duplij, On an alternative supermatrix reduction, Lett. Math. Phys. 37 (1996), no. 3, 385-396, arXiv:alg-geom/9506004. |
| [Dup96b] | S. Duplij, Noninvertibility and ''semi-'' analogs of (super) manifolds,
fiber bundles and homotopies, Univ. Kaiserslautern preprint,
KL-TH-96/10, (Scanned version from KEK Library), arXiv:q-alg/9609022, Kaiserslautern, 1996, 30 p. |
| [Dup96d] | S. Duplij, Supermatrix representations of semigroup bands, Pure Math.
Appl. 7 (1996), no. 3-4, 235-261, arXiv:funct-an/9609002. |
| [Dup95a] | S. Duplij, Ideal structure of superconformal semigroups, Univ.
Kaiserslautern preprint, KL-TH 95/4, CERN-SCAN-9503192,
Kaiserslautern, 1995, 50 p. |
| [Dup95b] | S. Duplij, Second N=1 superanalog of complex structure, Kharkov
Univ. preprint, arXiv:alg-geom/9506004, Kharkov, 1995, 30 p. |
| [Dup92] | S. Duplij, Towards gauge principle for semigroups, Acta Phys. Pol. B23 (1992), no. 7, 733-743. |
| [Dup91b] | S. Duplij, On semigroup nature of superconformal symmetry, J. Math. Phys. 32 (1991), no. 11, 2959-2965. |
| [Dup91a] | S. Duplij, On N=4 super Riemann surfaces and superconformal
semigroup, J. Phys. A24 (1991), no. 13, 3167-3179. |
| [Dup91c] | S. Duplij, Types of N=2 superconformal transformations, Theor. Math.
Phys. 86 (1991), no. 2, 138-143, Teor. Mat. Fiz. 86 (1991)
202-209. |
| [Dup90b] | S. Duplij, On N=2 superconformal transformations, Probl. Nucl. Phys.
Cosm. Rays 33 (1990), 22-38. |
| [Dup90a] | S. Duplij, On N=1 superconformal invariance, Sov. J. Nucl. Phys. 52 (1990), no. 10, 742-745, Yad. Fiz. 52 (1990) 1169-1175. |
| [Dup90c] | S. Duplij, Semigroup of N=1,2 superconformal transformations and
conformal superfields, Acta Phys. Pol. B21 (1990), no. 10, 783-811. |
| [Dup88] | S. Duplij, Nilpotent mechanics and supersymmetry, Probl. Nucl. Phys.
Cosm. Rays 30 (1988), 41-49. |
| [AD88] | V. P. Akulov and S. Duplij, Quasiclassical quantization in supersymmetric
quantum mechanics, Ukrainian J. Phys. 33 (1988), no. 2, 309-311. |
| [Dup86] | S. Duplij, Search for superpartners at high energy accelerators. part
II., Probl. Nucl. Phys. Cosm. Rays 26 (1986), 1-22. |
| [Dup85] | S. Duplij, Search for superpartners at high energy accelerators. part
I., Probl. Nucl. Phys. Cosm. Rays 24 (1985), 82-96. |
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No part of the page and the work inside may be used, reproduced, stored in a retrieval system or transcribed in any form or by any means (electronic, mechanical, photocopying or otherwise) without the prior written permission of the author © 1996 by Steven Duplij |