Dominant K-theory and Integrable highest weight representations of Kac-Moody groups - Mathematics > Algebraic TopologyReportar como inadecuado




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Abstract: We give a topological interpretation of the highest weight representations ofKac-Moody groups. Given the unitary form G of a Kac-Moody group over C, wedefine a version of equivariant K-theory, K G on the category of proper G-CWcomplexes. We then study Kac-Moody groups of compact type in detail seeSection 2 for definitions. In particular, we show that the Grothendieck groupof integrable hightest weight representations of a Kac-Moody group G of compacttype, maps isomorphically onto K G^*EG, where $EG$ is the classifying spaceof proper G-actions. For the affine case, this agrees very well with recentresults of Freed-Hopkins-Teleman. We also explicitly compute K G^*EG forKac-Moody groups of extended compact type, which includes the Kac-Moody groupE {10}.



Autor: Nitu Kitchloo

Fuente: https://arxiv.org/



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