Crystal bases for U-q(osp(1,2r))

Authors
Musson, IM Zou, YM
Citation
Im. Musson et Ym. Zou, Crystal bases for U-q(osp(1,2r)), J ALGEBRA, 210(2), 1998, pp. 514-534
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
210
Issue
2
Year of publication
1998
Pages
514 - 534
Database
ISI
SICI code
0021-8693(199812)210:2<514:CBFU>2.0.ZU;2-H
Abstract
We construct Z(2)-graded crystal bases for the quantized universal envelopi ng algebra of the Lie superalgebra osp(1, 2r). We show that, like the cryst al bases in the Lie algebra case, these crystal bases carry a remarkable co mbinatorial structure. (C) 1998 Academic Press.