GRADED POISSON-LIE STRUCTURES ON GENERAL LINEAR-GROUPS

Authors
ARUTYUNOV GE MEDVEDEV PB
Citation
Ge. Arutyunov et Pb. Medvedev, GRADED POISSON-LIE STRUCTURES ON GENERAL LINEAR-GROUPS, Theoretical and mathematical physics, 108(1), 1996, pp. 916-929
Citations number
27
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
108
Issue
1
Year of publication
1996
Pages
916 - 929
Database
ISI
SICI code
0040-5779(1996)108:1<916:GPSOGL>2.0.ZU;2-M
Abstract
The external algebra on GL(N) is equipped with, graded Poisson bracket s compatible with the group action. We prove that there exist two and only two corresponding Poisson-Hopf superalgebras on M and obtain thei r explicit descriptions. We show that precisely these superalgebras ar ise in the semiclassical limit of bicovariant differential calculi on the quantum linear group GL(q)(N).