Poincaré series on symmetric and alternating tensors for irreducible representations of imprimitive complex reflection groups

DOI10.1006/jabr.1994.1296zbMath0832.20062OpenAlexW2055841916MaRDI QIDQ1337440

Kazuhiko Koike

Publication date: 6 November 1994

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1994.1296

zbMATH Keywords

irreducible decompositionsymmetric tensorstensor productirreducible reflection groupsalternating tensors

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Extensions, wreath products, and other compositions of groups (20E22) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Applications of linear algebraic groups to the sciences (20G45) Reflection groups, reflection geometries (51F15)

Related Items

Principal specializations of the classical groups and \(q\)-analogs of the dimension formulas ⋮ Invariant theory for coincidental complex reflection groups