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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 191, Pages 123–128 (Mi into771)

Bethe–Dunkl manifold associated with Dunkle–Darboux operators

K. O. Politov

Moscow State Regional Socio-Humanitarian Institute, Kolomna, Moscow region

Abstract: In this paper, we prove that two algebraic varieties associated with Dunkl–Darboux operators coincide.

Keywords: Bethe–Dunkl manifold, root system, Dunkle–Darboux operator.

UDC: 517.986

MSC: 46H20

DOI: 10.36535/0233-6723-2021-191-123-128



© Steklov Math. Inst. of RAS, 2024