ON POISSON-LIE STRUCTURE ON THE EXTERNAL ALGEBRA OF THE CLASSICAL LIE-GROUPS

被引：1

作者：

ARUTYUNOV, GE ^{[1
]}

MEDVEDEV, PB ^{[1
]}

机构：

[1] INST THEORET & EXPTL PHYS,MOSCOW 117259,RUSSIA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1995年 / 36卷 / 12期

关键词：

D O I：

10.1063/1.531202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The general expression for the bicovariant bracket for odd generators of the external algebra on a Poisson-Lie group is given. The graded Poisson-Lie structures derived before for GL(N) and SL(N) are shown to be the special cases of this bracket. The formula is universal and can be applied to any matrix Lie group. (C) 1995 American Institute of Physics.

引用

页码：6981 / 6990

页数：10

共 50 条

[1] POISSON-LIE GROUPS AND CLASSICAL W-ALGEBRAS
FATEEV, VA
LUKYANOV, SL
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (05): : 853 - 876
[2] Poisson-Lie diffeomorphism groups
Stoyanov, OS
[J]. LETTERS IN MATHEMATICAL PHYSICS, 2001, 57 (03) : 185 - 223
[3] CENTRAL EXTENSIONS OF LIE BIALGEBRAS AND POISSON-LIE GROUPS
BENAYED, M
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 1995, 16 (03) : 301 - 304
[4] POISSON-LIE STRUCTURE ON THE TANGENT BUNDLE OF A POISSON-LIE GROUP, AND POISSON ACTION LIFTING
Boumaiza, Mohamed
Zaalani, Nadhem
[J]. JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, 2005, 4 : 1 - 18
[5] Coadjoint Poisson Actions of Poisson-Lie Groups
Boris A. Kupershmidt
Ognyan S. Stoyanov
[J]. Journal of Nonlinear Mathematical Physics, 1999, 6 : 344 - 354
[6] Coadjoint Poisson actions of Poisson-Lie groups
Kupershmidt, BA
Stoyanov, OS
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 1999, 6 (03) : 344 - 354
[7] ON POISSON HOMOGENEOUS SPACES OF POISSON-LIE GROUPS
DRINFELD, VG
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1993, 95 (02) : 524 - 525
[8] Quantization of Poisson-Lie groups and applications
Bidegain, F
Pinczon, G
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 179 (02) : 295 - 332
[9] Geometry of Tangent Poisson-Lie Groups
Al-Dayel, Ibrahim
Aloui, Foued
Deshmukh, Sharief
[J]. MATHEMATICS, 2023, 11 (01)
[10] POISSON-LIE QUASI-GROUPS
BANGOURA, M
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 319 (09): : 975 - 978

← 1 2 3 4 5 →