Bethe--Dunkl manifold associated with Dunkle--Darboux operators
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 191 (2021), pp. 123-128

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In this paper, we prove that two algebraic varieties associated with Dunkl–Darboux operators coincide.
Keywords: Bethe–Dunkl manifold, root system, Dunkle–Darboux operator.
@article{INTO_2021_191_a11,
     author = {K. O. Politov},
     title = {Bethe--Dunkl manifold associated with {Dunkle--Darboux} operators},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {123--128},
     publisher = {mathdoc},
     volume = {191},
     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2021_191_a11/}
}
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K. O. Politov. Bethe--Dunkl manifold associated with Dunkle--Darboux operators. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 191 (2021), pp. 123-128. http://geodesic.mathdoc.fr/item/INTO_2021_191_a11/