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Crystal bases for quantum affine algebras and Young walls
- Authors
- Kang, Seok-Jin; Lee, Hyeonmi
- Issue Date
- Sep-2009
- Publisher
- Academic Press
- Keywords
- Crystal; Reduced Young wall; Quantum affine algebra; Slice; Splitting of blocks
- Citation
- Journal of Algebra, v.322, no.6, pp 1979 - 1999
- Pages
- 21
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Algebra
- Volume
- 322
- Number
- 6
- Start Page
- 1979
- End Page
- 1999
- ISSN
- 0021-8693
1090-266X
- 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.
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Related Researcher
- Lee, Hyeon mi
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)