17 citations · 31 across the 7 of their papers we have counts for
8 papers
Infinite transitivity for Calogero-Moser spaces
Karine Kuyumzhiyan
We prove the conjecture of Berest-Eshmatov-Eshmatov by showing that the group of automorphisms of a product of Calogero-Moser spaces , where the are pairwise distinc…
Infinite transitivity, finite generation, and Demazure roots
I Arzhantsev, K Kuyumzhiyan, M Zaidenberg
An affine algebraic variety X of dimension at least 2 is called flexible if the subgroup SAut(X) in Aut(X) generated by the one-parameter unipotent subgroups acts m-transitively on…
Unirationality and existence of infinitely transitive models
Fedor Bogomolov, Ilya Karzhemanov, Karine Kuyumzhiyan
We study unirational algebraic varieties and the fields of rational functions on them. We show that after adding a finite number of variables some of these fields admit an infinite…
Simple Modules of Exceptional Groups with Normal Closures of Maximal Torus Orbits
Ilya I. Bogdanov, Karine G. Kuyumzhiyan
Let G be an exceptional simple algebraic group, and let T be a maximal torus in G. In this paper, for every such G, we find all simple rational G-modules V with the following prope…
Infinitely transitive actions on real affine suspensions
Karine Kuyumzhiyan, Frédéric Mangolte
A group G acts infinitely transitively on a set Y if for every positive integer m, its action is m-transitive on Y. Given a real affine algebraic variety Y of dimension greater tha…
Simple Modules of Classical Linear Groups with Normal Closures of Maximal Torus Orbits
Karine Kuyumzhiyan
Let T be a maximal torus in a classical linear group G. In this paper we find all simple rational G-modules V such that for each vector v in V the closure of its T-orbit is a norma…