The Grothendieck group of spheres with semilinear actions for a compact Lie group

DOI10.1016/j.topol.2004.07.004zbMath1061.57033OpenAlexW2051201857WikidataQ115340864 ScholiaQ115340864MaRDI QIDQ1764676

Ikumitsu Nagasaki

Publication date: 22 February 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.07.004

zbMATH Keywords

Grothendieck grouphomotopy representationquasilinear disksemilinear sphere

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact Lie groups of differentiable transformations (57S15) Frobenius induction, Burnside and representation rings (19A22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivariant homotopy equivalence of group representations
• Locally linear representation forms
• Families of subgroups and completion
• Homotopy representations and spheres of representations
• Induction theorems for equivariant K-theory and J-theory
• Transformation groups
• Homotopy representations of the torus
• Transformation groups and algebraic \(K\)-theory
• Representation forms for metacyclic groups
• Smooth compact Lie group actions on disks
• On the G-homotopy equivalence of spheres of representations
• Dimension functions of homotopy representations for compact Lie groups
• Homotopy representations of finite groups
• Homotopy types of locally linear representation forms
• The representation ring of a compact Lie group
• Linearity of dimension functions for semilinear 𝐺-spheres
• Verschlingungssysteme in glatten Darstellungsformen
• Homotopy-equivalent group representations.
• The Picard group of equivariant stable homotopy theory

This page was built for publication: The Grothendieck group of spheres with semilinear actions for a compact Lie group