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Higher level affine crystals and Young walls

Cited 4 time in Web of Science Cited 5 time in Scopus
Authors
Kang, Seok-Jin; Lee, Hyeonmi
Issue Date
2006-07-25
Publisher
Spinger Science + Business Media
Citation
Algebr. Represent. Theor. 9 (2006), 593-632
Keywords
quantum affine algebrasaffine crystalsYoung walls
Abstract
Using combinatorics of Young walls, we give a new realization of arbitrary
level irreducible highest weight crystals B(\lambda) for quantum affine algebras of type A^(1)_n, B^(1)_n, C^(1)_n , A^(2)_2n−1, A^(2)_2n, and D^(2)_n+1. The irreducible highest weight crystals are realized
as the affine crystals consisting of reduced proper Young walls. The notion of slices
and splitting of blocks plays a crucial role in the construction of crystals.
ISSN
1386-923X (Print)
1572-9079 (Online)
Language
English
URI
https://hdl.handle.net/10371/12161
DOI
https://doi.org/10.1007/s10468-006-9013-6
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Appears in Collections:
College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
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