The Lusztig cones of a quantized enveloping algebra of type A

Authors
Citation
R. Marsh, The Lusztig cones of a quantized enveloping algebra of type A, J ALGEBRA, 244(1), 2001, pp. 59-75
Citations number
18
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
244
Issue
1
Year of publication
2001
Pages
59 - 75
Database
ISI
SICI code
0021-8693(20011001)244:1<59:TLCOAQ>2.0.ZU;2-7
Abstract
We show that for each reduced expression for the longest word in the Weyl g roup of type A(n), the corresponding cone arising in Lusztig's description of the canonical basis in terms of tight monomials is simplicial, and const ruct explicit spanning vectors. (C) 2001 Academic Press.