Introduction to Rational Cherednik Algebras
نویسنده
چکیده
These are notes for a talk in the MIT-Northeastern Spring 2015 Graduate Representation Theory Seminar. The main source is [BR14].
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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Let Γ ⊂ SL2(C) be a finite subgroup, and r be the number of conjugacy classes of Γ. Let D be the algebra of polynomial differential operators in one variable with complex coefficients. In the paper [CBH98], CrawleyBoevey and Holland introduced an r-parameter family of algebras Ht,c1,...,cr−1 over C, which is a universal deformation of the semidirect product algebra CΓ ⋉ D. They also described t...
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تاریخ انتشار 2015