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arXiv · 1107.3578

Character formul{\ae} and GKRS multiplets in equivariant K-theory

Gregory D. Landweber·Reyer Sjamaar
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Abstract

Let $G$ be a compact Lie group, $H$ a closed subgroup of maximal rank and $X$ a topological $G$-space. We obtain a variety of results concerning the structure of the $H$-equivariant K-ring $K_H^*(X)$ viewed as a module over the $G$-equivariant K-ring $K_G^*(X)$. One result is that the module has a nonsingular bilinear pairing; another is that the module contains multiplets which are analogous to the Gross-Kostant-Ramond-Sternberg multiplets of representation theory.

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Gregory D. Landweber, Reyer Sjamaar. 2011-07-18. Character formul{\ae} and GKRS multiplets in equivariant K-theory. https://arxiv.org/abs/1107.3578

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