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Young tableaux and crystal B(infinity) for the exceptional Lie algebra types

Title
Young tableaux and crystal B(infinity) for the exceptional Lie algebra types
Author
이현미
Keywords
Crystal base; Quantum group; Young tableau; Exceptional type Lie algebra
Issue Date
2012-02
Publisher
Elsevier
Citation
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2012, 119(2), P.397~419
Abstract
We study the crystal base associated with the negative part of the quantum group for finite simple Lie algebras of types , , , and . After describing the crystal as a union of highest weight crystals, we give an explicit description of in terms of Young tableaux.
URI
https://www.sciencedirect.com/science/article/pii/S0097316511001488?via%3Dihubhttp://hdl.handle.net/20.500.11754/67496
ISSN
0097-3165
DOI
10.1016/j.jcta.2011.09.009
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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