M. Rovinsky

activity

20032022

most citedRemarks on endomorphisms and rational points

32 citations · 38 across the 10 of their papers we have counts for

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5 papers · 1 filter

math.RT2022

Partial fraction decompositions, and semilinear representations of infinite symmetric groups

M. Rovinsky

Let $F ∣ k$ be a non-trivial regular field extension, $S$ be an infinite (discrete) set, $G$ be the group of all permutations of $S$ endowed with the compact-open topology, $L$ be th…

math.RT2018

0-cycles on Grassmannians as representations of projective groups

R. Bezrukavnikov, M. Rovinsky

Let $F$ be an infinite division ring, $V$ be a left $F$ -vector space, $r > 0$ be an integer. We study the structure of the representation of the linear group $GL_{F} (V)$ in th…

math.RT2015

An analogue of Hilbert's Theorem 90 for infinite symmetric groups

M. Rovinsky

Let $K$ be a field and $G$ be a group of its automorphisms. If $G$ is precompact then $K$ is a generator of the category of smooth (i.e. with open stabilizers) $K$ -semilinear repre…

math.RT2006★ 2 cited

On maximal proper subgroups of field automorphism groups

M. Rovinsky

Let $G$ be the automorphism group of an extension $F ∣ k$ of algebraically closed fields of characteristic zero and of transcendence degree $n$ , $1 \leq n \leq \infty$ . In this paper we (…

math.RT2003★ 2 cited

Semi-linear representations of PGL

M. Rovinsky

Let $L$ be the function field of a projective space $P_{k}^{n}$ over an algebraically closed field $k$ of characteristic zero, and $H$ be the group of projective transformati…