Work

Algebra of operators for Q-Schur polynomials

Year: 2026

Type: article

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.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2026.140259

Author: Nikita Tselousov

Institutions: Moscow Institute of Physics and Technology, Kurchatov Institute, Institute of Earthquake Prediction Theory and Mathematical Geophysics, Institute for Information Transmission Problems, Institute for Theoretical and Experimental Physics

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Ministry of Science and Higher Education of the Russian Federation, Foundation for the Advancement of Theoretical Physics and Mathematics, Moscow Institute of Physics and Technology

Award: G2622452862