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

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:119

Article

Hong, Jin^1,2  Lee, Hyeonmi^3,4 

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 151747, South Korea

[3] Hanyang Univ, Dept Math, Seoul 133, South Korea

[4] Hanyang Univ, Res Inst Nat Sci, Seoul 133, South Korea

关键词: Crystal base;    Quantum group;    Young tableau;    Exceptional type Lie algebra;   

DOI  :  10.1016/j.jcta.2011.09.009

来源: Elsevier

【 摘 要 】

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. (0 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free