Combinatorial $B_n$-analogues of Schubert polynomials

Abstract

Combinatorial $B_n$-analogues of Schubert polynomials and corresponding symmetric functions are constructed from an exponential solution of the $B_n$-Yang-Baxter equation that involves the nilCoxeter algebra of the hyperoctahedral group.

14 pages, figures available upon request

Cited by in corpus (8)

• $k$-Schur functions and affine Schubert calculus
• Affine Schubert classes, Schur positivity, and combinatorial Hopf algebras
• Universal exponential solution of the Yang-Baxter equation
• Pipe dreams for Schubert polynomials of the classical groups
• Stanley symmetric functions for signed involutions
• Littlewood-Richardson coefficients for reflection groups
• Bialgebras for Stanley symmetric functions
• Crystal Structures for Double Stanley Symmetric Functions