Generalized Artin and Brauer induction for compact Lie groups

Details Generalized Artin and Brauer induction for compact Lie groups Generalized Artin and Brauer induction for compact Lie groups

2006-09-22

arxiv.org/abs/math/0609641v2

Mathematics

Algebraic Topology

Scientific paper

Let G be a compact Lie group. We present two induction theorems for certain generalized G-equivariant cohomology theories. The theory applies to G-equivariant K-theory K_G, and to the Borel cohomology associated to any complex oriented cohomology theory. The coefficient ring of K_G is the representation ring R(G) of G. When G is a finite group the induction theorems for K_G coincide with the classical Artin and Brauer induction theorems for R(G).

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