Algebra of operators for Q-Schur polynomials
High Energy Physics - Theory
2025-10-02 v1 Mathematical Physics
math.MP
Quantum Algebra
Representation Theory
Abstract
We consider algebras acting on Schur and Q-Schur polynomials, corresponding to Kadomtsev-Petviashvili (KP) and BKP hierarchies. We present them in the spirit of affine Yangians, paying special attention to commutative subalgebras, box additivity property of eigenvalues and single hook expansion of operators.
Keywords
Cite
@article{arxiv.2510.01057,
title = {Algebra of operators for Q-Schur polynomials},
author = {Nikita Tselousov},
journal= {arXiv preprint arXiv:2510.01057},
year = {2025}
}