Universal exponential solution of the Yang-Baxter equation
Sergey Fomin, Anatol N. Kirillov
TL;DR
This paper presents a universal exponential solution to the Yang-Baxter equation, enabling the construction of generalized symmetric functions and addressing specific algebraic cases.
Contribution
It introduces a universal exponential solution framework for the Yang-Baxter equation, expanding the understanding of algebraic structures and solutions.
Findings
Construction of exponential solutions for the Yang-Baxter equation
Descriptions of local stationary algebra associated with these solutions
Extension to Bn and G2 algebraic cases
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 and cases are also treated.
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