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Young wall realization of crystal bases for classical Lie algebras

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Authors
Kang, Seok-Jin; Kim, Jeong-Ah; Lee, Hyeonmi; Shin, Dong-Uy
Issue Date
2003-12-12
Publisher
American Mathematical Society
Citation
Trans. Amer. Math. Soc. 356 (2004), 2349-2378
Keywords
crystal basesclassical Lie algebrasYoung wall
Abstract
In this paper, we give a new realization of crystal bases for finite dimensional
irreducible modules over classical Lie algebras. The basis vectors are parameterized by certain Young walls lying between highest weight and lowest weight vectors.
ISSN
0002-9947
Language
English
URI
http://hdl.handle.net/10371/12152
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
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