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Crystal bases for quantum affine algebras and Young walls

Cited 6 time in Web of Science Cited 6 time in Scopus
Authors

Kang, Seok-Jin; Lee, Hyeonmi

Issue Date
2009
Publisher
Elsevier
Citation
J. Algebra 322 (2009) 1979-1999
Keywords
CrystalReduced Young wallQuantum affine algebraSliceSplitting of blocks
Abstract
We provide a unified approach to the Young wall description of crystal graphs for arbitrary level irreducible highest weight representations over classical quantum affine algebras. The crystal graph is realized as the affine crystal consisting of all reduced Young walls built on a ground-state wall.
ISSN
0021-8693
Language
English
URI
https://hdl.handle.net/10371/12166
DOI
https://doi.org/10.1016/j.jalgebra.2009.06.010
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