The exotic Robinson-Schensted correspondence

JOURNAL OF ALGEBRA

卷:370

Article

Henderson, Anthony¹  Trapa, Peter E.² 

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

[2] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

关键词: Algebraic groups;    Nilpotent orbits;    Kazhdan-Lusztig theory;    Character sheaves;    Representation theory;   

DOI  :  10.1016/j.jalgebra.2012.06.029

来源: Elsevier

【 摘 要 】

We study the action of the symplectic group on pairs of a vector and a flag. Considering the irreducible components of the conormal variety, we obtain an exotic analogue of the Robinson-Schensted correspondence. Conjecturally, the resulting cells are related to exotic character sheaves. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free