Browse

Fock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm

Cited 0 time in Web of Science Cited 0 time in Scopus
Authors
Kang, Seok-Jin; Kwon, Jae-Hoon
Issue Date
2008
Publisher
대한수학회 = The Korean Mathematical Society
Citation
J. Korean Math. Soc. 45 (2008), no. 4, 1135-1202
Keywords
quantum affine algebracrystal basisglobal basis
Abstract
We construct the Fock space representations of classical quantum affine algebras using combinatorics of Young walls. We also show that the crystal graphs of the Fock space representations can be realized as the abstract crystal consisting of proper Young walls. Finally, we give a generalized version of Lascoux-Leclerc-Thibon algorithm for computing the global bases of the basic representations of classical quantum affine algebras.
ISSN
0304-9914
Language
English
URI
http://hdl.handle.net/10371/12165
Files in This Item:
Appears in Collections:
College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
  • mendeley

Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse