On the arithmetic of the representation ring and elements of finite order in Lie groups
type: Item
instance of: scholarly article
title: On the arithmetic of the representation ring and elements of finite order in Lie groups
zbMATH Open document ID: 0628.22004
DOI: 10.1016/0021-8693(87)90119-0
published in: Journal of Algebra
publication date: 1987-01-01T00:00:00Z
Mathematics Subject Classification ID: 22E40
Mathematics Subject Classification ID: 11R18
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 22C05
Mathematics Subject Classification ID: 11R32
Mathematics Subject Classification ID: 20C07
Mathematics Subject Classification ID: 16S34
zbMATH DE Number: 4021470
zbMATH Keywords: elements of finite order
zbMATH Keywords: compact Lie groups
zbMATH Keywords: simple Lie group
zbMATH Keywords: maximal torus
zbMATH Keywords: Lie algebra
zbMATH Keywords: lattice of co-roots
zbMATH Keywords: kernel of the exponential map
zbMATH Keywords: lattice of weights
zbMATH Keywords: Weyl group
zbMATH Keywords: duality
zbMATH Keywords: finite group of automorphisms
zbMATH Keywords: integral group ring
zbMATH Keywords: invariant elements
zbMATH Keywords: Galois group
zbMATH Keywords: cyclotomic field
zbMATH Keywords: irreducible characters
zbMATH Keywords: height
zbMATH Keywords: inertia group
zbMATH Keywords: reflection subgroup
zbMATH Keywords: regular element
zbMATH Keywords: decomposition group
zbMATH Keywords: stabilizer
zbMATH Keywords: Coxeter number
Wikidata QID: Q115366675
author: Arturo Pianzola
MaRDI profile type: Publication
full work available at URL: 0021-8693(87)90119-0
OpenAlex ID: W2031685288
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cites work: Q3708941
cites work: On the regularity and rationality of certain elements of finite order in Lie groups.
cites work: Q3869539
cites work: Regular elements of finite reflection groups
cites work: Endomorphisms of linear algebraic groups
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description: scientific article; zbMATH DE number 4021470