Representations of the rational Cherednik algebras of dihedral type.

DOI10.1016/j.jalgebra.2005.12.024zbMath1100.20005arXivmath/0405383OpenAlexW2013834264MaRDI QIDQ2491828

Tatyana Chmutova

Publication date: 29 May 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405383

zbMATH Keywords

standard modulesdihedral groupsrational Cherednik algebrasreal reflection groups

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of associative Artinian rings (16G10)

Related Items

Parabolic degeneration of rational Cherednik algebras ⋮ Irreducible representations of the rational Cherednik algebra associated to the Coxeter group \(H_3\). ⋮ Hochschild cohomology and graded Hecke algebras ⋮ Supports of irreducible spherical representations of rational Cherednik algebras of finite Coxeter groups. (With an appendix by Stephen Griffeth). ⋮ Unitary representations of rational Cherednik algebras ⋮ On refined filtration by supports for rational Cherednik categories \(\mathcal {O}\) ⋮ Singular polynomials from orbit spaces ⋮ Finite-dimensional representations of the symmetry algebra of the dihedral Dunkl-Dirac operator ⋮ Finite dimensional representations of the rational Cherednik algebra for \(G_4\). ⋮ Orthogonal functions generalizing Jack polynomials ⋮ Reflection functors and symplectic reflection algebras for wreath products. ⋮ Geometric representations of graded and rational Cherednik algebras ⋮ Finite-dimensional representations of DAHA and affine Springer fibers: the spherical case. ⋮ Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras

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