Differential-difference operators and monodromy representations of Hecke algebras

DOI10.2140/pjm.1993.159.271zbMath0821.33009OpenAlexW1996195710MaRDI QIDQ1314991

Charles F. Dunkl

Publication date: 1 March 1994

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1993.159.271

zbMATH Keywords

Hecke algebrareflection groupArtin braid groupdifferential-difference operatorsmonodromy action

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other geometric groups, including crystallographic groups (20H15) Classical hypergeometric functions, ({}_2F_1) (33C05) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (5)

Orthogonality measure on the torus for vector-valued Jack polynomials ⋮ A remark on the irreducible characters and fake degrees of finite real reflection groups ⋮ Cherednik algebras and differential operators on quasi-invariants. ⋮ Representations of the rational Cherednik algebras of dihedral type. ⋮ Singular Polynomials for Finite Reflection Groups

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