Symplectic restriction varieties and geometric branching rules II

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:125

Article

Coskun, Izzet

关键词: Flag varieties;    Homogeneous spaces;    Restriction problem;   

DOI  :  10.1016/j.jcta.2014.02.004

来源: Elsevier

【 摘 要 】

In this paper, we introduce combinatorially defined subvarieties of symplectic flag varieties called symplectic restriction varieties. We study their geometric properties and compute their cohomology classes. In particular, we give a positive, combinatorial, geometric branching rule for computing the map in cohomology induced by the inclusion of the symplectic partial flag variety SF(k(1),...,k(h); n) in the partial flag variety F(k(1),, k(h); n). These rules have many applications in algebraic geometry, combinatorics, symplectic geometry and representation theory. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free