The twisted Heisenberg algebra Uh,w(H(4))

Autor:	Boucif Abdesselam
Rok vydání:	1997
Předmět:	Physics Quantum group Braid group Statistical and Nonlinear Physics Hopf algebra Algebra High Energy Physics::Theory Quantization (physics) Mathematics::Quantum Algebra Ribbon Lie algebra Mathematical Physics Parametric statistics R-matrix
Zdroj:	Journal of Mathematical Physics. 38:6045-6060
ISSN:	1089-7658 0022-2488
DOI:	10.1063/1.532201
Popis:	A two parametric deformation of the enveloping Heisenberg algebra H(4) that appears as a combination of the standard and a nonstandard quantization given by Ballesteros and Herranz is defined and proved to be Ribbon Hopf algebra. The universal R matrix and its associated quantum group are constructed. A new solution of the Braid group is obtained. The contribution of these parameters in invariants of links and the Wess–Zumino–Witten (WZW) model are analyzed. General results for twisted Ribbon Hopf algebra are derived.
Databáze:	OpenAIRE
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