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math.AG2011
A remarkable contraction of semisimple Lie algebras
Dmitri Panyushev, Oksana Yakimova
Recently, E.Feigin introduced a very interesting contraction of a semisimple Lie algebra (see arXiv:1007.0646 and arXiv:1101.1898). We prove that these…
math.AG2011
Commuting involutions and degenerations of isotropy representations
Dmitri I. Panyushev
Let and be commuting involutions of a semisimple algebraic group . This yields a -grading of $\g=\Lie(G)$, $\g=\bigoplus_{i,j=0,1}\g_{ij}$, and we stu…