Demazure crystals of generalized Verma modules and a flagged RSK correspondence

JOURNAL OF ALGEBRA

卷:322

Article

Kwon, Jae-Hoon

关键词: Quantum groups;    Crystal graphs;    Demazure crystals;    RSK correspondence;   

DOI  :  10.1016/j.jalgebra.2009.04.034

来源: Elsevier

【 摘 要 】

We prove that the Robinson-Schensted-Knuth correspondence is a gI(infinity)-crystal isomorphism between two realizations of the crystal graph of a generalized Verma module with respect to a maximal parabolic subalgebra of gI(infinity). A flagged version of the RSK correspondence is derived in a natural way by computing a Demazure crystal graph of a generalized Verma module. As an application, we discuss a relation between a Demazure crystal and plane partitions with a bounded condition. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free