ON THE SMOOTHNESS OF CENTRES OF RATIONAL CHEREDNIK ALGEBRAS IN POSITIVE CHARACTERISTIC
نویسندگان
چکیده
منابع مشابه
Representations of rational Cherednik algebras of rank 1 in positive characteristic
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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Lowest-weight representations of Cherednik algebras H~,c have been studied in both characteristic 0 and positive characteristic. However, the case of positive characteristic has been studied less, because of a lack of general tools. In positive characteristic the lowest-weight representation Lc(τ) of the Cherednik algebra is finite-dimensional. The representation theory of complex reflection gr...
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We survey a number of results about rational Cherednik algebra representation theory and its connection to symplectic singularities and their resolutions. Mathematics Subject Classification (2000). Primary 16G, 17B; Secondary 20C, 53D.
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نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولMicrolocalization of Rational Cherednik Algebras
We construct a microlocalization of the rational Cherednik algebras H of type Sn. This is achieved by a quantization of the Hilbert scheme Hilb C2 of n points in C2. We then prove the equivalence of the category of H -modules and that of modules over its microlocalization under certain conditions on the parameter.
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2013
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089513000499