O. Yakimova

activity

20042026

most citedQuantisation and nilpotent limits of Mishchenko-Fomenko subalgebras

28 citations · 129 across the 43 of their papers we have counts for

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4 papers · 1 filter

math.AG2013

Parabolic contractions of semisimple Lie algebras and their invariants

Dmitri Panyushev, Oksana Yakimova

Let $G$ be a connected semisimple algebraic group with Lie algebra $g$ and $P$ a parabolic subgroup of $G$ with $L i e (P) = p$ . The parabolic contraction of $g$ is the semi-direct prod…

math.AG2011

An effective method to compute closure ordering for nilpotent orbits of $θ$ -representations

W. A. de Graaf, E. B. Vinberg, O. S. Yakimova

We develop an algorithm for computing the closure of a given nilpotent $G_{0}$ -orbit in $\g_1$, where $\g_1$ and $G_{0}$ are coming from a $Z$ or a $Z / m Z$ -grading $\g= \bigoplus \g_…

math.AG2011

A remarkable contraction of semisimple Lie algebras

Dmitri Panyushev, Oksana Yakimova

Recently, E.Feigin introduced a very interesting contraction $q$ of a semisimple Lie algebra $g$ (see arXiv:1007.0646 and arXiv:1101.1898). We prove that these…

math.AG2006★ 19 cited

Symmetric pairs and associated commuting varieties

Dmitri Panyushev, Oksana Yakimova

We obtain a series of new results on the problem of irreducibility of commuting varieties associated with symmetric pairs or, in other words, $Z_{2}$ -graded simple Lie algebras. In p…

Parabolic contractions of semisimple Lie algebras and their invariants

An effective method to compute closure ordering for nilpotent orbits of θ-representations

A remarkable contraction of semisimple Lie algebras

Symmetric pairs and associated commuting varieties

An effective method to compute closure ordering for nilpotent orbits of $θ$ -representations