The Real K -Theory of Compact Lie Groups

Symmetry Integrability and Geometry-Methods and Applications

article

Chi-Kwong Fok¹ 

[1] Department of Mathematics, Cornell University

关键词: KR-theory;    compact Lie groups;    Real representations;    Real equivariant formality;   

DOI  :  10.3842/SIGMA.2014.022

来源: National Academy of Science of Ukraine

【 摘 要 】

Let $G$ be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution $\sigma_G$ and viewed as a $G$-space with the conjugation action. In this paper, we present a description of the ring structure of the (equivariant) $KR$-theory of $(G, \sigma_G)$ by drawing on previous results on the module structure of the $KR$-theory and the ring structure of the equivariant $K$-theory.

【 授权许可】

Unknown