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arXiv · 1704.07880

Kac-Moody Groups and Cosheaves on Davis Building

Katerina Hristova·Dmitriy Rumynin
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Abstract

We investigate smooth representations of complete Kac-Moody groups. We approach representation theory via geometry, in particular, the group action on the Davis realisation of its Bruhat-Tits building. Our results include an estimate on projective dimension, localisation theorem, unimodularity and homological duality.

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Katerina Hristova, Dmitriy Rumynin. 2017-04-25. Kac-Moody Groups and Cosheaves on Davis Building. https://arxiv.org/abs/1704.07880

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