Representations of rational Cherednik algebras of rank one in positive characteristic.

DOI10.1016/j.jpaa.2004.03.010zbMath1079.16006arXivmath/0307390OpenAlexW2050801211MaRDI QIDQ1765279

Frédéric Latour

Publication date: 23 February 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307390

zbMATH Keywords

irreducible representationsdeformed preprojective algebrasrational Cherednik algebras

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Representations of orders, lattices, algebras over commutative rings (16G30)

Related Items

Drinfeld Hecke algebras for symmetric groups in positive characteristic ⋮ Representations of rational Cherednik algebras of \(G(m,r,n)\) in positive characteristic. ⋮ Representations of trigonometric Cherednik algebras of rank one in positive characteristic. ⋮ Cherednik algebras and Hilbert schemes in characteristic 𝑝 ⋮ Braided doubles and rational Cherednik algebras. ⋮ The rational Cherednik algebra of type \(A_1\) with divided powers

Cites Work

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• On the quotient ring by diagonal invariants.
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• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Induced and simple modules of double affine Hecke algebras.
• Noncommutative deformations of Kleinian singularities
• DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS
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