Fixed points in absolutely irreducible real representations.

zbMath1279.20018MaRDI QIDQ358941

Haibo Ruan

Publication date: 9 August 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1373636696

zbMATH Keywords

finite solvable groupsabsolutely irreducible real representationsfixed point subspaces

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (1)

Equivariant bifurcation and absolute irreducibility in \(\mathbb R^8\): a contribution to Ize conjecture and related bifurcations

Cites Work

• Characters of groups having fixed-point-free automorphisms of 2-power order.
• Transformation groups
• Fixed point theory of parametrized equivariant maps
• Geometric methods in degree theory for equivariant maps
• Symmetry breaking for compact Lie groups
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