Departmental Seminar

W-algebras and Vinberg's problem for centralizers

Tomoyuki Arakawa

Tomoyuki Arakawa, RIMS Kyoto

Applying some results on W-algebras we prove the existence of a quantization of Mishchenko-Fomenko algebras for centralizers in gl(n,C) generalizing earlier results of Olshansky-Nazarov, Tarasov, Rybnikov and Feigin-Frenkel-Toledano-Laredo. Physically, the problem is closely related with the Gaudin models associated with centralizers. This is a joint work with Alexander Premet.

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