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Young tableaux and crystal B(infinity) for finite simple Lie algebrasopen access
- Authors
- Hong, Jin; Lee, Hyeonmi
- Issue Date
- Nov-2008
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Crystal base; Crystal; Young tableau; Semi-standard tableau; Finite simple Lie algebra
- Citation
- JOURNAL OF ALGEBRA, v.320, no.10, pp.3680 - 3693
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF ALGEBRA
- Volume
- 320
- Number
- 10
- Start Page
- 3680
- End Page
- 3693
- ISSN
- 0021-8693
- Abstract
- We study the crystal base of the negative part of a quantum group. An explicit description of the crystal for quantum finite Lie algebras of types A(n), B-n, C-n, D-n, and G(2) is given in terms of Young tableaux.
- Appears in
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Related Researcher
- Lee, Hyeon mi
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)