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20042011
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.RT2005

(Ir)Reducibility of some commuting varieties associated with involutions

Oksana Yakimova

Here we prove that a commuting variety associated with a symmetric pair (g, g_0) is irreducible for (so_{n+m}, so_n + so_m) and reducible for (gl_{n+m}, {gl}_n + gl_m) with n>m, (s…

math.RT2005

The index of representations associated with stabilisers

Dmitri I. Panyushev, Oksana S. Yakimova

Let be an algebraic group and a -module. The index of is the minimal codimension of the -orbits in the dual space . There is a general inequality, due to Vin…