Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 191, Pages 123–128
DOI: https://doi.org/10.36535/0233-6723-2021-191-123-128 (Mi into771) 		 
Bethe–Dunkl manifold associated with Dunkle–Darboux operators

K. O. Politov

Moscow State Regional Socio-Humanitarian Institute, Kolomna, Moscow region
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DOI: https://doi.org/10.36535/0233-6723-2021-191-123-128
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.
English version:
Journal of Mathematical Sciences (New York), 2025, Volume 288, Issue 6, Pages 788–793
DOI: https://doi.org/10.1007/s10958-025-07768-3
Document Type: Article
UDC: 517.986
MSC: 46H20
Language: Russian
Citation: K. O. Politov, “Bethe–Dunkl manifold associated with Dunkle–Darboux operators”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 191, VINITI, Moscow, 2021, 123–128; J. Math. Sci. (N. Y.), 288:6 (2025), 788–793
Citation in format AMSBIB
\Bibitem{Pol21}
\by K.~O.~Politov
\paper Bethe--Dunkl manifold associated with Dunkle--Darboux operators
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 191
\pages 123--128
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into771}
\crossref{https://doi.org/10.36535/0233-6723-2021-191-123-128}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2025
\vol 288
\issue 6
\pages 788--793
\crossref{https://doi.org/10.1007/s10958-025-07768-3}
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