Universal exponential solution of the Yang-Baxter equation

Abstract

Exponential solutions of the Yang-Baxter equation give rise to generalized Schubert polynomials and corresponding symmetric functions. We provide several descriptions of the local stationary algebra defined by this equation. This allows to construct various exponential solutions of the YBE. The $B_n$ and $G_2$ cases are also treated.

12 pages

References in corpus (1)

• Combinatorial $B_n$-analogues of Schubert polynomials

Cited by in corpus (4)

• Integrable Floquet dynamics
• Birational Weyl group action arising from a nilpotent Poisson algebra
• The Floquet Baxterisation
• Interpolation analogues of Schur Q-functions