D. Panyushev

activity

19992009

most citedAbelian ideals of a Borel subalgebra and long positive roots

7 citations · 17 across the 20 of their papers we have counts for

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Showing 2007 · math.RTShow all

2 papers · 2 filters

math.RT2007

Periodic automorphisms of Takiff algebras, contractions, and $θ$ -groups

Dmitri I. Panyushev

Let $q$ be an algebraic Lie algebra and $q < m >$ a (generalised) Takiff algebra. Any finite order automorphism $θ$ of $q$ induces an automorphisms of $q < m >$ of the same order, denote…

math.RT2007

The argument shift method and maximal commutative subalgebras of Poisson algebras

Dmitri I. Panyushev, Oksana S. Yakimova

Let $S$ be the symmetric algebra of an algebraic Lie algebra. We provide a sufficient condition for the maximality of Poisson commutative subalgebras of $S$ obtained by the argumen…

Periodic automorphisms of Takiff algebras, contractions, and θ-groups

The argument shift method and maximal commutative subalgebras of Poisson algebras

Periodic automorphisms of Takiff algebras, contractions, and $θ$ -groups