47 citations · 195 across the 41 of their papers we have counts for
43 papers
Ganea decompositions of classifying spaces
Yuri Berest, Yun Liu, Ajay C. Ramadoss
We study homotopy decompositions of the classifying spaces of compact connected Lie groups obtained by (relative) fiber-cofiber construction. Given a pair of Borel fibrations…
Quasi-flag manifolds and moment graphs
Yuri Berest, Yun Liu, Ajay C. Ramadoss
We introduce and study a new class of topological -spaces generalizing the classical flag manifolds of compact connected Lie groups. These spaces, which we call the -qu…
Topological realization of algebras of quasi-invariants, I (with an Appendix by M. V. Feigin and K. E. Feldman)
Yuri Berest, Ajay C. Ramadoss
This is the first in a series of papers, where we introduce and study topological spaces that realize the algebras of quasi-invariants of finite reflection groups. Our result can b…
Symmetric Homology is Representation Homology
Yuri Berest, Ajay C. Ramadoss
Symmetric homology is a natural generalization of cyclic homology, in which symmetric groups play the role of cyclic groups. In the case of associative algebras, the symmetric homo…
Derived Character Maps of Groups Representations
Yuri Berest, Ajay C. Ramadoss
In this paper, we construct and study derived character maps of finite-dimensional representations of -groups. As models for -groups we take homotopy simplicial gro…
Representation homology of simply connected spaces
Yuri Berest, Ajay C. Ramadoss, Wai-Kit Yeung
Let be an affine algebraic group defined over field of characteristic zero. We study the derived moduli space of G-local systems on a pointed connected CW complex X trivial…