19 citations · 133 across the 72 of their papers we have counts for
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math.RT2013★ 4 cited
On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras
Dmitri Panyushev, Oksana Yakimova
For any involution of a semisimple Lie algebra , one constructs a non-reductive Lie algebra , which is called a -contraction of $\mathfra…
math.RT2013
The Dynkin index and sl(2)-subalgebras of simple Lie algebras
Dmitri I. Panyushev
This is a continuation of arXiv:0903.0398 [math.RT]. Let g be a simple Lie algebra. In this note, we provide simple formulae for the index of sl(2)-subalgebras in the classical Lie…
math.RT2013★ 2 cited
Wide subalgebras of semisimple Lie algebras
Dmitri I. Panyushev
Let G be a connected semisimple algebraic group over , with Lie algebra $\g$. Let $\h$ be a subalgebra of $\g$. A simple finite-dimensional $\g$-module V is said to be $\h$-inde…