Representations of infinitesimal Cherednik algebras

DOI10.1090/S1088-4165-2013-00443-0zbMath1302.17012arXiv1210.4833OpenAlexW2054374647MaRDI QIDQ2937178

Fengning Ding, Aleksander Tsymbaliuk

Publication date: 8 January 2015

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4833

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Deformations of associative rings (16S80) Universal enveloping algebras of Lie algebras (16S30)

Related Items (3)

The prime spectrum of the algebra \(\mathbb{K}_q[X,Y \rtimes U_q(\mathfrak{sl}_2)\) and a classification of simple weight modules] ⋮ Infinitesimal Cherednik algebras as \(W\)-algebras ⋮ Infinitesimal Hecke algebras of \(\mathfrak{so}_N\)

Cites Work

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• Infinitesimal Cherednik algebras as \(W\)-algebras
• Affine Hecke Algebras and Their Graded Version
• The invariant polynomial algebras for the groups IU(n) and ISO(n)
• A Class of Algebras Similar to the Enveloping Algebra of sl(2)
• Center of infinitesimal Cherednik algebras of 𝔤𝔩_{𝔫}
• A simple proof of Kostant's theorem that U(g) is free over its center
• Center and Representations of Infinitesimal Hecke Algebras of 𝔰𝔩₂

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