1 citations · 1 across the 2 of their papers we have counts for
5 papers
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…
General Comodule-Contramodule Correspondence
Katerina Hristova, John Jones, Dmitriy Rumynin
This paper is a fundamental study of comodules and contramodules over a comonoid in a symmetric closed monoidal category. We study both algebraic and homotopical aspects of them. A…
Cocompact Lattices in Locally Pro--complete Rank 2 Kac-Moody Groups
Inna Capdeboscq, Katerina Hristova, Dmitriy Rumynin
We initiate an investigation of lattices in a new class of locally compact groups, so called locally pro--complete Kac-Moody groups. We discover that in rank 2 their cocompact l…
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…
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…