O. Yakimova

activity

20042008

most citedThe centralisers of nilpotent elements in classical Lie algebras

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

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math.RT2004★ 6 cited

The centralisers of nilpotent elements in classical Lie algebras

O. S. Yakimova

The index of a finite-dimensional Lie algebra $g$ is the minimum of dimensions of stabilisers $g_{α}$ of elements $α \in g^{*}$ . Let $g$ be a reductive Lie algebra and $z (x)$ a centrali…

math.RT2004

Principal Gelfand pairs

Oksana Yakimova

Let X=G/K be a connected Riemannian homogeneous space of a real Lie group G. The homogeneous space X is called commutative if the algebra of G-invariant differential operators on X…