An inverse Grassmannian Littlewood–Richardson rule and extensions

Abstract

Chow rings of flag varieties have bases of Schubert cycles $\sigma _u $ , indexed by permutations. A major problem of algebraic combinatorics is to give a positive combinatorial formula for the structure constants of this basis. The celebrated Littlewood–Richardson rules solve this problem for special products $\sigma _u \cdot \sigma _v$ , where u and v are p-Grassmannian permutations.

Keywords

• 14N15
• 05E05
• 05E14
• 14M15