Geometric modules over the Burnside ring

DOI10.1007/BF01579214zbMath0389.57008OpenAlexW4254458652MaRDI QIDQ1251016

Tammo tom Dieck, Ted Petrie

Publication date: 1978

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142579

Mathematics Subject Classification ID

Degree, winding number (55M25) Compact Lie groups of differentiable transformations (57S15) Topological (K)-theory (55N15) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Homotopy groups of topological groups and homogeneous spaces (57T20)

Related Items

The Brauer group of Burnside rings, Über projektive Moduln und Endlichkeitshindernisse bei Transformationsgruppen, Some remarks on projective Mackey functors, The Equivariant Hurewicz Map, Picard groups, Grothendieck rings, and Burnside rings of categories, The Picard group of equivariant stable homotopy theory, Witt vectors. Part 1, The Relative Burnside Module and the Stable Maps Between Classifying Spaces of Compact Lie Groups, Homotopy equivalent group representations and Picard groups of the Burnside ring and the character ring, Orientation Preserving Actions of Finite Abelian Groups on Spheres, Homotopy representations of finite groups, Homotopiedarstellungen endlicher Gruppen: Dimensionsfunktionen

Cites Work

• The Burnside ring of a compact Lie group. I
• Orbittypen und äquivariante Homologie. II
• Quasi equivalence of G modules
• Idempotent elements in the Burnside ring
• The fixed point index of fibre-preserving maps
• A characterisation of solvable groups
• Equivariant K-theory
• Homotopy-equivalent group representations.
• BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS
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