Semisimple elements and the little Weyl group of real semisimple \(\mathbb{Z}_m\)-graded Lie algebras
type: Item
instance of: scholarly article
title: Semisimple elements and the little Weyl group of real semisimple \(\mathbb{Z}_m\)-graded Lie algebras
author: Willem A. De Graaf
author: Hông Vân Lê
published in: Linear Algebra and its Applications
publication date: 2024-11-09T00:00:00Z
Mathematics Subject Classification ID: 17B45
Mathematics Subject Classification ID: 17B70
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G20
zbMATH DE Number: 7941047
zbMATH Keywords: graded Lie algebra
zbMATH Keywords: \(\theta\)-group
zbMATH Keywords: homogeneous semisimple and nilpotent element
zbMATH Keywords: Cartan subspace
zbMATH Keywords: Weyl group
zbMATH Keywords: real Galois cohomology
MaRDI profile type: Publication
cites work: Q3919830
cites work: Q3669596
cites work: The Magma algebra system. I: The user language
cites work: Classification of real trivectors in dimension nine
cites work: On Jordan classes for Vinberg's \(\theta\)-group
cites work: Q4237191
cites work: Symmetry, Representations, and Invariants
cites work: Computing representatives of nilpotent orbits of \(\theta\)-groups
cites work: Classifying semisimple orbits of $\theta $-groups
cites work: Q4040877
cites work: Q3395519
cites work: Vinberg's \(\theta \)-groups in positive characteristic and Kostant-Weierstrass slices
cites work: KW-sections for Vinberg's \(\theta\)-groups of exceptional type
cites work: Gradings of positive rank on simple Lie algebras
cites work: Differential Equations Invariant Under Finite Reflection Groups
cites work: Torsion in reductive groups
cites work: Q4349107
cites work: Q4674279
cites work: THE WEYL GROUP OF A GRADED LIE ALGEBRA
cites work: Q3752555
cites work: Q3792823
DOI: 10.1016/J.LAA.2024.09.015
description: scientific article; zbMATH DE number 7941047