A. Petukhov

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20072025

most citedSpherical actions on flag varieties

9 citations · 40 across the 21 of their papers we have counts for

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math.RA2025

Countable separation property for associative algebras

Alexey Petukhov

For an associative algebra $A$ with a simple module $M$ with trivial endomorphisms and trivial annihilator we verify the countable separation property (CSP), i.e. we prove that the…

math.RA2021★ 1 cited

The Poisson spectrum of the symmetric algebra of the Virasoro algebra

Alexey V. Petukhov, Susan J. Sierra

Let $W = C [t, t^{- 1}] \partial_{t}$ be the Witt algebra of algebraic vector fields on $C^{\times}$ and let $V i r$ be the Virasoro algebra, the unique nontrivial central…

math.RA2017

Ideals in the enveloping algebra of the positive Witt algebra

Alexey V. Petukhov, Susan J. Sierra

Let $W_{+}$ be the positive Witt algebra, which has a $C$ -basis ${e_{n} : n \in Z_{\geq 1}}$ , with Lie bracket $[e_{i}, e_{j}] = (j - i) e_{i + j}$ . We study the two-sided ideal structure of…