Action of Virasoro operators on Hall-Littlewood polynomials
Xiaobo Liu, Chenglang Yang
TL;DR
This paper establishes formulas describing how Virasoro operators act on Hall-Littlewood polynomials evaluated at roots of unity, advancing understanding in algebraic combinatorics and representation theory.
Contribution
It provides explicit formulas for Virasoro operator actions on Hall-Littlewood polynomials at roots of unity, a novel result in the field.
Findings
Formulas for Virasoro operators on Hall-Littlewood polynomials at roots of unity
Enhanced understanding of algebraic structures involving symmetric functions
Potential applications in mathematical physics and representation theory
Abstract
In this paper, we prove formulas for the action of Virasoro operators on Hall-Littlewood polynomials at roots of unity.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory