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Young tableaux and crystal B(infinity) for finite simple Lie algebras
- Hong, Jin;
- Lee, Hyeonmi
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42초록
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.
키워드
Crystal base; Crystal; Young tableau; Semi-standard tableau; Finite simple Lie algebra; COMBINATORIAL REALIZATIONS; ENVELOPING-ALGEBRAS; NAKAJIMA MONOMIALS; Q-ANALOG; BASES; GRAPHS
- 제목
- Young tableaux and crystal B(infinity) for finite simple Lie algebras
- 저자
- Hong, Jin; Lee, Hyeonmi
- 발행일
- 2008-11
- 유형
- Article
- 권
- 320
- 호
- 10
- 페이지
- 3680 ~ 3693