Bethe Algebra of Gaudin Model, Calogero-moser Space and Cherednik Algebra
نویسنده
چکیده
We identify the Bethe algebra of the Gaudin model associated to gl N acting on a suitable representation with the center of the rational Cherednik algebra and with the algebra of regular functions on the Calogero-Moser space.
منابع مشابه
Endomorphisms of Verma Modules for Rational Cherednik Algebras
We study the endomorphism algebras of Verma modules for rational Cherednik algebras at t = 0. It is shown that, in many cases, these endomorphism algebras are quotients of the centre of the rational Cherednik algebra. Geometrically, they define Lagrangian subvarieties of the generalized Calogero–Moser space. In the introduction, we motivate our results by describing them in the context of deriv...
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