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Young tableaux and crystal B(infinity) for the exceptional Lie algebra typesopen access
- Authors
- Hong, Jin; Lee, Hyeonmi
- Issue Date
- Feb-2012
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- 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
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMBINATORIAL THEORY SERIES A
- Volume
- 119
- Number
- 2
- Start Page
- 397
- End Page
- 419
- ISSN
- 0097-3165
- 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)