具有对合的紧李群的等变k理论

arXiv: K-Theory and Homology Pub Date : 2014-01-30 DOI:10.1017/IS014002004JKT254

P. Hu, I. Kríz, P. Somberg

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引用次数: 0

摘要

对于具有对合函数的紧单连通单李群$G$，我们计算了$G$的$G\rt乘以$ Z/2$-等变k理论，其中$G$是共轭作用的，$ Z/2$是共轭作用的，$ Z/2$是共轭作用的，$ Z/2$是共轭作用的，$G\ mapsto \alpha(G)^{-1}$。我们也给出了这些群以及$K_G(G)$的表示理论解释。

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Equivariant K-theory of compact Lie groups with involution

For a compact simply connected simple Lie group $G$ with an involution $\alpha$, we compute the $G\rtimes \Z/2$-equivariant K-theory of $G$ where $G$ acts by conjugation and $\Z/2$ acts either by $\alpha$ or by $g\mapsto \alpha(g)^{-1}$. We also give a representation-theoretic interpretation of those groups, as well as of $K_G(G)$.

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arXiv: K-Theory and Homology

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