Monodromy of hypergeometric functions for dihedral groups

DOI10.1080/10652469308819011zbMath0821.33008OpenAlexW2023395615MaRDI QIDQ4837501

Charles F. Dunkl

Publication date: 8 October 1995

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469308819011

zbMATH Keywords

monodromyrepresentationHecke algebradifferential-difference operatorsdihedralgeneralized braid group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) 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

Representations of the rational Cherednik algebras of dihedral type.

Cites Work

• On the semisimplicity of Hecke algebras
• On the theorem of Feit-Higman
• The special functions and their approximations. Vol. I, II
• Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs