V. Popov

activity

20022023

most citedDiscrete complex reflection groups

46 citations · 147 across the 35 of their papers we have counts for

collaborators

Showing 2009 · math.AGShow all

3 papers · 2 filters

math.AG2009

Algebraic cones

Vladimir L. Popov

A characterization of algebraic cones in terms of actions of the one-dimensional multiplicative algebraic monoid $M_{m}$ and the algebraic group $G_{m}$ are giv…

math.AG2009

Cross-sections, quotients, and representation rings of semisimple algebraic groups

Vladimir L. Popov

Let $G$ be a connected semisimple algebraic group over an algebraically closed field $k$ . In 1965 Steinberg proved that if $G$ is simply connected, then in $G$ there exists a close…

math.AG2009★ 8 cited

Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action?

Jean-Louis Colliot-Thélène, Boris Kunyavskiĭ, Vladimir L. Popov +1

Let $k$ be a field of characteristic zero, let $G$ be a connected reductive algebraic group over $k$ and let $g$ be its Lie algebra. Let $k (G)$ , respectively, $k(\mathfr…