ON REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS

DOI10.1142/S0217732311035377zbMath1214.81114arXiv1012.5844MaRDI QIDQ3005735

O. V. Ogievetskij, Loïc Poulain d'Andecy

Publication date: 9 June 2011

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5844

zbMATH Keywords

Hecke algebrasYoung tableauxYoung diagramscomplex reflection groupsJucys-Murphy elementsflat deformations

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Deformations of general structures on manifolds (58H15)

Related Items (6)

Fusion procedure for Coxeter groups of type 𝐵 and complex reflection groups 𝐺(𝑚,1,𝑛) ⋮ An inductive approach to representations of complex reflection groups \(G(m,1,n)\). ⋮ UNITARY REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS AT ROOTS OF UNITY: COMBINATORIAL CLASSIFICATION AND BGG RESOLUTIONS ⋮ Representation theory of the Yokonuma-Hecke algebra. ⋮ Induced representations and traces for chains of affine and cyclotomic Hecke algebras. ⋮ Fusion procedure for the walled Brauer algebra

Cites Work

• A new approach to representation theory of symmetric groups
• On baxterized solutions of reflection equation and integrable chain models
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• On the semi-simplicity of the Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\)

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