| 1. | Quantum-Classical Interactions and Galois Type Extensions /Marcinek, W
An algebraic model for the relation between a certain classical particle system and the quantum environment is proposed. [...]
math.QA/0210479; Wroclaw : Wroclaw Univ., 31 Oct 2002 . - 7 p Fulltext
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| 2. | Quantum-Classical Correspondence and Galois Extensions /Marcinek, W
A proposal of an algebraic model for the relation between a quantum environment and certain classical particle system is given. [...]
math.QA/0206082; Wroclaw : Wroclaw Univ., 8 Jun 2002 . - 11 p Fulltext
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| 3. | Regular obstructed categories and TQFT /Duplij, S; Marcinek, W
A proposal of the concept of $n$-regular obstructed categories is given. [...]
math.QA/0202216; 21 Feb 2002 . - 22 p Fulltext
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| 4. | Regularization of graded algebras and obstructions /Duplij, S; Marcinek, W
CM-P00038390; IFT-UWr-2001-0107.- Warsaw : Warsaw Univ. Inst. Theor. Phys., 2001 . - 12 p Fulltext
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| 5. | Regular graded algebras and obstructed categories with duality /Duplij, S; Marcinek, W
Regular and higher regular graded algebras (in simplest case satisfying Von Neumann regularity $\Theta_{1}\Theta_{2}\Theta_{1}=\Theta_{1}$ instead of anticommutativity) are introduced and their properties are studied. [...]
math.QA/0107022; 3 Jul 2001 . - 13 p Fulltext
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| 6. | Particles, Generalized Statistics and Categories /Marcinek, W
Interacting systems of particles with generalized statistics are considered on both classical and quantum level. [...]
math.QA/0104141; 12 Apr 2001 . - 18 p Fulltext
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| 7. | n-Categories Admissible by n-graph /Oziewicz, Z; Marcinek, W
The concept of n-categories and related subject is considered. [...]
math.CT/0104136; 12 Apr 2001 . - 12 p Fulltext
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| 8. | Noninvertibility, semisupermanifolds and categories regularization /Duplij, S; Marcinek, W
The categories with noninvertible morphisms are studied analogously to the semisupermanifolds with noninvertible transition functions. [...]
math-ph/0012039; 21 Dec 2000 . - 19 p Fulltext
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| 9. | On Generalized Quantum Statistics /Marcinek, W CERN library copies
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| 10. | On crossed product of algebras /Borowiec, A; Marcinek, W
The concept of a crossed tensor product of algebras is studied from a few points of views. [...]
math-ph/0007031; 25 Jul 2000 . - 20 p Fulltext
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| 11. | Higher regularity properties of mappings and morphisms /Duplij, S; Marcinek, W
We propose to extend ``invertibility'' to ``regularity'' for categories in general abstract algebraic manner. [...]
math-ph/0005033; IFT-UWr-931.- Warsaw : Warsaw Univ. Inst. Theor. Phys., 31 May 2000 . - 11 p Fulltext
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| 12. | Some Comments on Categories, Particles and Interactions /Marcinek, W
An algebraic formalism for the study of interacting particle systems isdeveloped. [...]
math.QA/0002236; 28 Feb 2000 . - 19 p Fulltext
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| 13. | On Generalized Statistics and Interactions /Marcinek, W
The concept of exchange braid statistics is generalized. [...]
math.QA/9905029; 6 May 1999 . - 8 p Fulltext
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| 14. | On composite systems and quantum statistics /Marcinek, W
An algebraic formalism for the study of a system of charged particles interacting with an external quantum field is developed. [...]
math.QA/9810060; 12 Oct 1998 . - 15 p Fulltext
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| 15. | Remarks on Quantum Statistics /Marcinek, W
Some problems related to an algebraic approach to quantum statistics are discussed. [...]
math.QA/9806158; 1 Jul 1998 . - 14 p Fulltext
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| 16. | Particles and Quantum Symmetries /Marcinek, W
The concept of quantum commutativity with respect to an action or coaction of a given Hopf algebra is used for the algebraic description of a system of particles and their interaction with certain quantum field. [...]
math.QA/9805122; 28 May 1998 . - 6 p Fulltext
Published in: Rep. Math. Phys. 43 (1999) 239-245
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| 17. | Particles in Singular Magnetic Field /Marcinek, W
An algebraic formalism for description of quantum states of charged particle with spin moving in two-dimensional space under influence of singular magnetic field is developed in terms of graded algebras. [...]
q-alg/9706031; 25 Jun 1997 . - 22 p Fulltext
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| 18. | Topology and Quantization /Marcinek, W
A simple algebraic model for charged particle moving in two dimensional space under influence of singular magnetic field is given. [...]
hep-th/9705098; 15 May 1997 . - 17 p Fulltext
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| 19. | On commutation relations for quons /Marcinek, W
The model of generalized quons is described in a purely algebraic way. [...]
q-alg/9512015; 15 Dec 1995 . - 17 p Fulltext
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| 20. | On the $*$-algebras and noncommutative geometry /Marcinek, W
SCAN-9507099; KL-TH-95-19.- Kaiserslautern : Kaiserslautern Univ., Jun 1995? . - 20 p Fulltext
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| 21. | On the noncommutative phase space and Poisson structure /Marcinek, W
SCAN-9503194; KL-TH-95-6.- Kaiserslautern : Kaiserslautern Univ., Feb 1995? . - 23 p Fulltext
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| 22. | On colour quantization : relations and parastatistics /Marcinek, W
ITP-UWr-799.- Wroclaw : Wroclaw Univ., Jan 1992 . - 17 p CERN library copies
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| 23. | Transformation groups and Hopf algebras /Marcinek, W
ITP-UWr-747.- Wroclaw : Wroclaw Univ., Jun 1990 . - 8 p CERN library copies
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| 24. | Colour extensions of Lie algebras and superalgebras /Marcinek, W
ITP-UWr-746.- Wroclaw : Wroclaw Univ., Jun 1990 . - 11 p CERN library copies
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| 25. | Graded algebras and geometry based on Yang-Baxter operators /Marcinek, W
ITP-UWr-745.- Wroclaw : Wroclaw Univ., Jun 1990 . - 11 p CERN library copies
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| 26. | Algebras based on Yang-Baxter operators /Marcinek, W
ITP-UWr-731.- Wroclaw : Wroclaw Univ., Nov 1989 . - 14 p CERN library copies
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| 27. | Clifford structures on real vector spaces and manifolds /Marcinek, W
ITP-UWr-704.- Wroclaw : Wroclaw Univ., Oct 1988 . - 29 p CERN library copies
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| 28. | Generalized Lie algebras and related topics, 1 /Marcinek, W
ITP-UWr-691.- Wroclaw : Wroclaw Univ., Nov 1987 . - 48 p CERN library copies
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| 29. | Generalized Lie algebras and related topics, 2 /Marcinek, W
ITP-UWr-692.- Wroclaw : Wroclaw Univ., Nov 1987 . - 68 p CERN library copies
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