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

Authors
ARUTYUNOV GE MEDVEDEV PB
Citation
Ge. Arutyunov et Pb. Medvedev, ON POISSON-LIE STRUCTURE ON THE EXTERNAL ALGEBRA OF THE CLASSICAL LIE-GROUPS, Journal of mathematical physics, 36(12), 1995, pp. 6981-6990
Citations number
27
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
36
Issue
12
Year of publication
1995
Pages
6981 - 6990
Database
ISI
SICI code
0022-2488(1995)36:12<6981:OPSOTE>2.0.ZU;2-O
Abstract
The general expression for the bicovariant bracket for odd generators of the external algebra on a Poisson-Lie group is given. The graded Po isson-Lie structures derived before for GL(N) and SL(N) are shown to b e the special cases of this bracket. The formula is universal and can be applied to any matrix Lie group. (C) 1995 American Institute of Phy sics.