135 citations · 163 across the 25 of their papers we have counts for
5 papers · 1 filter
Kac-Moody Groups and Their Representations
Dmitriy Rumynin
In this expository paper we review some recent results about representations of Kac-Moody groups. We sketch the construction of these groups. If practical, we present the ideas beh…
Covering Groups of Nonconnected Topological Groups and 2-Groups
Dmitriy Rumynin, Demyan Vakhrameev, Matthew Westaway
We investigate the universal cover of a topological group that is not necessarily connected. Its existence as a topological group is governed by a Taylor cocycle, an obstruction in…
Integration of Modules I: Stability
Dmitriy Rumynin, Matthew Westaway
We explore the integration of representations from a Lie algebra to its algebraic group in positive characteristic. An integrable module is stable under the twists by group element…
Kac-Moody Groups and Completions
Inna Capdeboscq, Dmitriy Rumynin
In this paper we construct a new "pro-p-complete" topological Kac-Moody group and compare it to various known topological Kac-Moody groups. We come across this group by investigati…
Kac-Moody Groups and Cosheaves on Davis Building
Katerina Hristova, Dmitriy Rumynin
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…