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Young tableaux and crystal B(infinity) for the exceptional Lie algebra types
- Authors
- Hong, Jin; Lee, Hyeonmi
- Issue Date
- Feb-2012
- Publisher
- Academic Press
- Keywords
- Crystal base; Quantum group; Young tableau; Exceptional type Lie algebra
- Citation
- Journal of Combinatorial Theory - Series A, v.119, no.2, pp 397 - 419
- Pages
- 23
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- Journal of Combinatorial Theory - Series A
- Volume
- 119
- Number
- 2
- Start Page
- 397
- End Page
- 419
- ISSN
- 0097-3165
1096-0899
- Abstract
- We study the crystal base B(infinity) associated with the negative part of the quantum group for finite simple Lie algebras of types E(6), E(7), E(8), and F(4). After describing the crystal B(infinity) as a union of highest weight crystals, we give an explicit description of B(infinity) in terms of Young tableaux.
- Appears in
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Related Researcher
- Lee, Hyeon mi
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)