D. Panyushev

activity

19992008

most citedAbelian ideals of a Borel subalgebra and long positive roots

7 citations · 11 across the 17 of their papers we have counts for

collaborators

Showing 2007Show all

3 papers · 1 filter

math.CO2007

On orbits of antichains of positive roots

Dmitri I. Panyushev

For any finite poset P, there is a natural operator $X$ acting on the antichains of P. We discuss conjectural properties of this operator for some graded posets associated with irr…

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…

On orbits of antichains of positive roots

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