Back to Search Start Over

Crystal bases and generalized Lascoux–Leclerc–Thibon (LLT) algorithm for the quantum affine algebra Uq(Cn(1)).

Authors :
Kim, Jeong-Ah
Shin, Dong-Uy
Source :
Journal of Mathematical Physics; Dec2004, Vol. 45 Issue 12, p4878-4895, 18p
Publication Year :
2004

Abstract

In this paper, we give a realization of crystal bases of the fundamental representations over U<subscript>q</subscript>(C<subscript>n</subscript><superscript>(1)</superscript>) in terms of Young diagrams k introduced by Premat. Further, we give a generalized Lascoux–Leclerc–Thibon algorithm for computing the global bases. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00222488
Volume :
45
Issue :
12
Database :
Complementary Index
Journal :
Journal of Mathematical Physics
Publication Type :
Academic Journal
Accession number :
15877815
Full Text :
https://doi.org/10.1063/1.1811791