Algebra of operators for Q-Schur polynomials

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.

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Publication Details

Journal
Physics Letters B
Published
2026-02-09
DOI
https://doi.org/10.1016/j.physletb.2026.140259
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
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article

Algebra of operators for Q-Schur polynomials

Nikita Tselousov
Physics Letters B
Advanced Combinatorial Mathematics
article

Algebra of operators for Q-Schur polynomials

Nikita Tselousov
article en

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.

Physics Letters BVol. 874
Moscow Institute of Physics and Technology (RU), Kurchatov Institute (RU)
Openalex Percentile: Top 59%
Advanced Combinatorial Mathematics
DOIOpen Access PDFOpenAlex
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Algebra of operators for Q-Schur polynomials — Nikita Tselousov · Physics Letters B (2026) | TGRS Research Map | TGRS