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Article

Kac–Moody groups and cosheaves on Davis building

Journal of Algebra. 2018. Vol. 515. P. 202-235.
Румынин Д. А., Hristova K.

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.