Green polynomials at roots of unity and Springer modules for the symmetric groups
type: Item
instance of: scholarly article
title: Green polynomials at roots of unity and Springer modules for the symmetric groups
zbMATH Open document ID: 1116.05089
author: Hideaki Morita
published in: Advances in Mathematics
publication date: 2007-05-23T00:00:00Z
Mathematics Subject Classification ID: 05E05
Mathematics Subject Classification ID: 05E10
zbMATH DE Number: 5156387
zbMATH Keywords: symmetric functions
zbMATH Keywords: roots of unity
zbMATH Keywords: permutation enumeration
MaRDI profile type: Publication
full work available at URL: j.aim.2006.10.008
OpenAlex ID: W2074391194
cites work: Twisted Invariant Theory for Reflection Groups
cites work: Symmetric functions, conjugacy classes and the flag variety
cites work: The Characters of the Finite General Linear Groups
cites work: A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
cites work: Algebra of coinvariants and the action of a Coxeter element.
cites work: Q4695479
cites work: Green polynomials and Hall-Littlewood functions at roots of unity
cites work: Q3947818
cites work: Decomposition of Green polynomials of type \(A\) and Springer modules for hooks and rectangles.
cites work: The coinvariant algebra of the symmetric group as a direct sum of induced modules.
cites work: A formula of Lascoux-Leclerc-Thibon and representations of symmetric groups
cites work: Hall–Littlewood polynomials at roots of 1 and modular representations of the symmetric group
cites work: Springer's regular elements over arbitrary fields
cites work: A variant of the induction theorem for Springer representations.
cites work: Regular elements of finite reflection groups
cites work: Trigonometric sums, Green functions of finite groups and representations of Weyl groups
cites work: A construction of representations of Weyl groups
cites work: On the eigenvalues of representations of reflection groups and wreath products
DOI: 10.1016/J.AIM.2006.10.008
Recommended article: Decomposition of Green polynomials of type \(A\) and Springer modules for hooks and rectangles.
Recommended article: Green polynomials and Hall-Littlewood functions at roots of unity
Recommended article: The Green polynomials via vertex operators
Recommended article: Q4675381
Recommended article: Green polynomials of Weyl groups, elliptic pairings, and the extended Dirac index
Recommended article: Q3792889
Recommended article: GENERALIZED GREEN FUNCTIONS AND UNIPOTENT CLASSES FOR FINITE REDUCTIVE GROUPS, III
Recommended article: A homological study of Green polynomials
Recommended article: Generalized Green Functions and Unipotent Classes for Finite Reductive Groups, II
Recommended article: Q3553068
description: scientific article; zbMATH DE number 5156387