Explicit Brauer induction
type: Item
instance of: scholarly article
title: Explicit Brauer induction
zbMATH Open document ID: 0704.20009
DOI: 10.1007/BF01394272
published in: Inventiones Mathematicae
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143633
review text: Utilizing the Atiyah-Bott-fixed-point-theorem the author derives a canonical form for the classical Brauer induction theorem and its generalizations to compact Lie groups. With a slightly different approach these results and many applications are also described in the author's book ``Topological methods in Galois representation theory'' (Wiley, New York, 1989; Zbl 0673.12009).
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 11R42
Mathematics Subject Classification ID: 16E20
zbMATH DE Number: 4154703
zbMATH Keywords: Grothendieck group
zbMATH Keywords: finite group
zbMATH Keywords: compact Lie groups
zbMATH Keywords: monomial representations
zbMATH Keywords: Galois group of a number field
zbMATH Keywords: permutation representations
zbMATH Keywords: Dedekind zeta functions
zbMATH Keywords: Atiyah-Bott-fixed-point- theorem
zbMATH Keywords: Brauer induction theorem
author: Victor P. Snaith
MaRDI profile type: Publication
cites work: Characters and cohomology of finite groups
cites work: A Lefschetz fixed point formula for elliptic complexes. I
cites work: Q4160112
cites work: Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
cites work: Homogeneous vector bundles
cites work: Beziehungen zwischen Klassenzahlen von Teilkörpern eines galoisschen Körpers. Herrn Professor Dr. Erhard Schmidt in dankbarer Verehrung zum 75. Geburtstag
cites work: Equivariant cohomology theories
cites work: Euler characteristics of discrete groups and G-spaces
cites work: Icosahedral Galois representations
cites work: Equivariant stable homotopy and Segal's Burnside ring conjecture
cites work: Q5842420
cites work: Q3922829
cites work: Les Constantes des Equations Fonctionnelles des Fonctions L
cites work: The ring of monomial representations. I: Structure theory
cites work: The transfer and compact Lie groups
cites work: Q5551256
cites work: Q3966247
cites work: Module Conductors and Module Resolvents
cites work: Q4103728
cites work: Q3235831
cites work: The classification of 𝐺-spaces
cites work: Notes on geometry
cites work: The representation ring of a compact Lie group
cites work: PERMUTATION REPRESENTATIONS OF FINITE p-GROUPS
cites work: Algebraic cobordism and 𝐾-theory
cites work: Q3995073
cites work: Opérations En K-Théorie Algébrique
cites work: K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
cites work: Brauer's class number relation
OpenAlex ID: W4230690795
description: scientific article; zbMATH DE number 4154703