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math.RT2022
Basic Hopf algebras and symmetric bimodules
Katerina Hristova, Vanessa Miemietz
Motivated by the so-called H-cell reduction theorems, we investigate certain classes of bicategories which have only one H-cell apart from possibly the identity. We show that H_0-s…
math.RT2018
Frobenius Reciprocity for Topological Groups
Katerina Hristova
We investigate the existence of left and right adjoints to the restriction functor in three categories of continuous representations of a topological group: discrete, linear comple…
math.RT2017
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…