Infinitesimal Hecke algebras.

DOI10.1016/S1631-073X(03)00369-8zbMath1056.20004arXiv0911.1879OpenAlexW2964240652MaRDI QIDQ1409723

Ivan Marin

Publication date: 22 October 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.1879

zbMATH Keywords

finite Coxeter groupsIwahori-Hecke algebrasreductive Lie algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Braids inside the Birman-Wenzl-Murakami algebra., The Lie algebra of transpositions., On the representation theory of braid groups., Group Algebras of Finite Groups as Lie Algebras, Algebraic monodromy of dihedral Artin groups.

Cites Work

• Symmetric polynomials and the center of the symmetric group ring
• 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
• The solution to a conjecture of Tits on the subgroup generated by the squares of the generators of an Artin group
• Unnamed Item