Representations of rational Cherednik algebras in positive characteristic
نویسندگان
چکیده
منابع مشابه
Lowest-weight representations of Cherednik algebras in positive characteristic
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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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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متن کاملUnitary Representations of Rational Cherednik Algebras
We study unitarity of lowest weight irreducible representations of rational Cherednik algebras. We prove several general results, and use them to determine which lowest weight representations are unitary in a number of cases. In particular, in type A, we give a full description of the unitarity locus (justified in Subsection 5.1 and the appendix written by S. Griffeth), and resolve a question b...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2013
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2012.09.015