URL="pubrecnt.htm"

Steven Duplij

Publications 1985-2000

(in supersymmetry, semigroups, quantum groups and mathematical physics)

Kharkov National University, Ukraine

ON HIGHER REGULARITY AND MONOIDAL CATEGORIES (with Wladyslaw Marcinek University of Wroclaw), G[ps,pdf] & U[ps,pdf], Vestnik KNU, Ser. Phys. "Nuclei, Particles and Fields", 2000, V. 481, P. 27-30.
DETERMINATIVE DEGREE AND NUCLEOTIDE CONTENT OF DNA STRANDS (with Diana Duplij), G[ps,pdf] & U[ps,pdf], Vestnik KNU, Ser. Bio. "Biophysical Bulletin", 2000, V.497, 7p.
ON STRUCTURE OF SMOOTH SEMISUPERMANIFOLDS (with Michael Chursin), G[ps,pdf] & U[ps,pdf], Vestnik KNU, Ser. Phys. "Nuclei, Particles and Fields", 2000, V. 481, P. 22-26. (in russian)
SYMMETRY ANALYSIS OF GENETIC CODE ANDDETERMINATIVE DEGREE (with Diana Duplij), physics/0006062, LANL[pdf] & G[ps,pdf] & U[ps,pdf], June 2000, 18 p. (in russian)
ON SUPERMATRIX IDEMPOTENT OPERATOR SEMIGROUPS, math.FA/0006001[abs, src, ps, other], June 2000, 11 p.
HIGHER REGULARITY PROPERTIES OF MAPPINGS AND MORPHISMS (with Wladyslaw Marcinek University of Wroclaw), math-ph/0005033 [abs, src, ps, other], University of Wroclaw preprint IFT UWr 931/00, April 2000, 11 p.
SEMIGROUP METHODS IN SUPERSYMMETRIC THEORIES OF ELEMENTARY PARTICLES, math-ph/9910045 LANL[abs, pdf, other], Habilitation Thesis (Doktorskaya dissertazia) in russian, June 1999, 483 pp., 3 Figures, 3 Tables, 832 citations, 7 Appendices.
NONINVERTIBILITY AND ADDITIONAL SYMMETRIES ON HYPERBIC SUPERPLANE, G[ps,pdf] & U[ps,pdf], Vestnik KNU, Ser. Phys. "Nuclei, Particles and Fields", 1999, V. 463, P. 3-6. (in russian)
SUPERCONFORMAL-LIKE TWISTING PARITY MORPHISMS,
DEFORMATIONS AND ODD COCYCLES, G[ps,pdf] & U[ps,pdf], Vestnik KNU, Ser. Phys. "Nuclei, Particles and Fields", 1999, V. 453, P. 3-6. (in russian)
ON SEMI-SUPERMANIFOLDS, G[ps,pdf]&U[ps,pdf]

Pure Mathematics and Applications, 1998

SUPERCONFORMAL-LIKE TRANSFORMATIONS AND NONLINEAR REALIZATIONS, G[ps,pdf] & U[ps,pdf], Southwest J. Pure and Appl. Math., 1998, Issue 2 (December), P. 85-112.
DIFFERENTIAL CALCULUS FOR q-DEFORMED TWISTORS, (with V.P.Akulov and V.V.Chitov)

Theoretical and Mathematical Physics, 1998. - V. 115. - n. 2. - P. 177-184.

NILPOTENT MARSH AND SUSY QM,

(with V.P.Akulov) hep-th/9809089 [abs, src, ps, other], in Supersymmetries and Quantum Symmetries. - Heidelberg: Springer-Verlag, 1998. - P. 243-251.

ON SUPERCONFORMAL-LIKE TRANSFORMATIONS AND THEIR NONLINEAR REALIZATION, [ps,pdf]

in Supersymmetries and Quantum Symmetries. - Heidelberg: Springer-Verlag, 1998. - P. 235-242.

NONINVERTIBLE N=1 SUPERANALOG OF COMPLEX STRUCTURE,

alg-geom/9510013, [abs, ps]

University of Kaiserslautern preprint KL-TH-95/23, October 1995, 9 p.

Journal of Mathematical Physics, 1997, v. 38, n. 2, p. 1035.

q-DIFFERENTIAL CALCULUS AND DEFORMED LIGHT-CONE, (with V.P.Akulov and V.V.Chitov) in

SUPERSYMMETRY AND QUANTUM FIELD THEORY,

Heidelberg: Springer-Verlag , 1998. - P. 317-320.

DIFFERENTIAL CALCULUS ON q-DEFORMED LIGHT-CONE,

(with V.P.Akulov and V.V.Chitov)

q-alg/9701026 [abs, ps]

University of Kaiserslautern preprint KL-TH-97/1, January 1997, 11 p.

NONINVERTIBILITY AND "SEMI-" ANALOGS OF (SUPER) MANIFOLDS, FIBER BUNDLES AND HOMOTOPIES,

q-alg/9609022 [abs, ps]

University of Kaiserslautern preprint KL-TH-96/10, August (May) 1996, 30 p.

(submitted to Journal of Mathematical Physics)

SUPERMATRIX REPRESENTATIONS OF SEMIGROUP BANDS,

funct-an/9609002 [abs, ps]

Pure Mathematics and Applications, 1996, v. 7, n. 3-4, p. 235.

ON ALTERNATIVE SUPERMATRIX REDUCTION,

alg-geom/9505034, [abs, ps]

Letters in Mathematical Physics, v. 37, n. 3, 1996, p. 385.

SOME ABSTRACT PROPERTIES OF SEMIGROUPS APPEARING IN SUPERCONFORMAL THEORIES,

hep-th/9505179, [abs, ps], CERN SCAN [ps, pdf], KEK Library 9507196 [ps]

University of Kaiserslautern preprint KL-TH-95/11, March 1995, 11 p.

Semigroup Forum, v. 54, n. 2, 1997, p. 241.

IDEAL STRUCTURE OF SUPERCONFORMAL SEMIGROUPS,

CERN-SCAN-9503192, [tiff], [ gif], [ps], [pdf], KEK Library 9503310 [ps]

Theoretical and Mathematical Physics, 1996, v. 106, n. 3, p. 355.

TOWARDS GAUGE PRINCIPLE FOR SEMIGROUPS,

Acta Physica Polonica, 1992, v. B23, n. 7, p. 733. (Abstract PS 142 kB)

TYPES OF N=2 SUPERCONFORMAL TRANSFORMATIONS,

Theoretical and Mathematical Physics, 1992, v. 86, n. 2, p. 138 (transl.).

ON SEMIGROUP NATURE OF SUPERCONFORMAL SYMMETRY,

Journal of Mathematical Physics, 1991, v. 32, n. 11, p. 2959.

ON N=4 SUPER RIEMANN SURFACES AND SUPERCONFORMAL SEMIGROUP,

Journal of Physics A: Mathematical and General, 1991, v. 24, n. 13, p. 3167. (Abstract PS 91 kB)

ON N=2 SUPERCONFORMAL TRANSFORMATIONS,

Problems of Nuclear Physics and Cosmic Rays (Kharkov University Press), 1990, v. 33, p. 22.

N=1 SUPERCONFORMAL INVARIANCE,

Soviet Journal of Nuclear Physics, v. 52, n. 10, 1990, p. 742 (transl.). (Abstract PS 149 kB)

SEMIGROUP OF N=1,2 SUPERCONFORMAL TRANSFORMATIONS AND CONFORMAL SUPERFIELDS,

Acta Physica Polonica, 1990, v. B21, p. 783. (Abstract PS 150 kB)

QUASICLASSICAL QUANTIZATION IN SUPERSYMMETRIC QUANTUM MECHANICS,

(with V. P. Akulov) Ukrainian Journal of Physics, 1988, v. 33, n. 2, p. 309-311.

NILPOTENT MECHANICS AND SUPERSYMMETRY,

Problems of Nuclear Physics and Cosmic Rays (Kharkov University Press), 1988, v. 30, p. 41-49.

SEARCH FOR SUPERPARTNERS AT HIGH ENERGY ACCELERATORS (Part II),

Problems of Nuclear Physics and Cosmic Rays (Kharkov University Press), 1986, v. 26, p. 1-22.

SEARCH FOR SUPERPARTNERS AT HIGH ENERGY ACCELERATORS (Part I),

Problems of Nuclear Physics and Cosmic Rays (Kharkov University Press), 1985, v. 24, p. 82-96.

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