A Lie-theoretic construction of some representations of the degenerate affine and double affine Hecke algebras of type 𝐵𝐶_{𝑛}

DOI10.1090/S1088-4165-09-00345-8zbMath1171.20004arXiv0801.1530OpenAlexW2125387534MaRDI QIDQ3614527

Rebecca Freund, Xiaoguang Ma, Pavel I. Etingof

Publication date: 9 March 2009

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

Full work available at URL: https://arxiv.org/abs/0801.1530

zbMATH Keywords

degenerate affine Hecke algebrasdouble affine Hecke algebrascategories of representationscategories of Harish-Chandra modules

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05)

Related Items (9)

Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality ⋮ Suzuki functor at the critical level ⋮ Dirac cohomology for graded affine Hecke algebras. ⋮ Quantum symmetric pairs and representations of double affine Hecke algebras of type \(C^\vee C_n\). ⋮ Dualities in the q‐Askey Scheme and Degenerate DAHA ⋮ Twisted Yangians, twisted quantum loop algebras and affine Hecke algebras of type $BC$ ⋮ Functors for unitary representations of classical real groups and affine Hecke algebras ⋮ Representations of Gan-Ginzburg algebras. ⋮ Reflection equation algebras, coideal subalgebras, and their centres

Cites Work

• Unnamed Item
• Duality between \(\mathfrak{sl}_n(\mathbb C)\) and the degenerate affine Hecke algebra
• Classification of graded Hecke algebras for complex reflection groups.
• Affine Hecke Algebras and Their Graded Version
• Universal KZB Equations: The Elliptic Case

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