Crystal base; Quantum group; Young tableau; Exceptional type Lie algebra
Issue Date
2012-02
Publisher
Elsevier
Citation
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2012, 119(2), P.397~419
Abstract
We study the crystal base associated with the negative part of the quantum group for finite simple Lie algebras of types , , , and . After describing the crystal as a union of highest weight crystals, we give an explicit description of in terms of Young tableaux.