Star products and quantum algebras

被引：3

作者：

Mansour, M ^{[1
]}

机构：

[1] Univ Mohamed VBP, Phys Theor Lab, Dept Phys, Rabat 1014, Morocco

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 1999年 / 38卷 / 05期

关键词：

D O I：

10.1023/A:1026693100125

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

I show explicitly that the star product on a triangular Poisson Lie group leads to a quantum algebra structure (triangular Hopf algebra) on the quantized enveloping algebra of the Lie algebra of the Lie group, and that equivalent star-products generate isomorphic quantum algebras.

引用

页码：1455 / 1467

页数：13

共 50 条

[31] STAR-REGULARITY AND UNIQUENESS OF C-STAR-NORM FOR TENSOR-PRODUCTS OF STAR-ALGEBRAS
HAUENSCHILD, W
KANIUTH, E
VOIGT, A
JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 89 (01) : 137 - 149
[32] Quantum Symmetries of the Twisted Tensor Products of C*-Algebras
Jyotishman Bhowmick
Arnab Mandal
Sutanu Roy
Adam Skalski
Communications in Mathematical Physics, 2019, 368 : 1051 - 1085
[33] Quantum Symmetries of the Twisted Tensor Products of C*-Algebras
Bhowmick, Jyotishman
Mandal, Arnab
Roy, Sutanu
Skalski, Adam
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 368 (03) : 1051 - 1085
[34] A COUNTEREXAMPLE FOR COMMUTATION IN TENSOR-PRODUCTS OF C-STAR-ALGEBRAS
ARCHBOLD, RJ
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 81 (04) : 562 - 564
[35] TENSOR-PRODUCTS OF LOCALLY C-STAR-ALGEBRAS AND APPLICATIONS
FRAGOULOPOULOU, M
MATHEMATISCHE NACHRICHTEN, 1991, 153 : 321 - 331
[36] STAR-ALGEBRAS INDUCED BY NON-DEGENERATE INNER PRODUCTS
BOGNAR, J
ACTA SCIENTIARUM MATHEMATICARUM, 1977, 39 (1-2): : 15 - 26
[37] TENSOR-PRODUCTS OF PRECLOSED OPERATORS ON C-STAR-ALGEBRAS
WU, LS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (02) : 265 - 269
[38] DEFORMATIONS OF ALGEBRAS ASSOCIATED WITH A SYMPLECTIC VARIETY (STAR-NU-PRODUCTS)
LICHNEROWICZ, A
ANNALES DE L INSTITUT FOURIER, 1982, 32 (01) : 157 - 209
[39] Symmetric pairs for Nichols algebras of diagonal type via star products
Kolb, Stefan
Yakimov, Milen
ADVANCES IN MATHEMATICS, 2020, 365
[40] CROSS PRODUCTS OF STRONGLY MORITA EQUIVALENT C-STAR-ALGEBRAS
CURTO, RE
MUHLY, PS
WILLIAMS, DP
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 90 (04) : 528 - 530

← 1 2 3 4 5 →