GENERALIZED LIE-ALGEBRAS OF TYPE A(N)

Authors
LYUBASHENKO V SUDBERY A
Citation
V. Lyubashenko et A. Sudbery, GENERALIZED LIE-ALGEBRAS OF TYPE A(N), Journal of mathematical physics, 39(6), 1998, pp. 3487-3504
Citations number
16
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
39
Issue
6
Year of publication
1998
Pages
3487 - 3504
Database
ISI
SICI code
0022-2488(1998)39:6<3487:GLOTA>2.0.ZU;2-H
Abstract
It is shown that the quantized enveloping algebra of s1(n) contains a generalized Lie algebra, defined by means of axioms similar to Woronow icz's; This gives rise to Lie algebra-like generators and relations fo r the locally finite part of the quantized enveloping algebra, and sug gests a canonical Poincare-Birkhoff-Witt basis. (C) 1998 American Inst itute of Physics.