(Ir)Reducibility of some commuting varieties associated with involutions
Oksana Yakimova
math.RTarXiv:math/0504145
Abstract
Here we prove that a commuting variety associated with a symmetric pair (g, g0) is irreducible for (son+m, son + som) and reducible for (gln+m, gln + glm) with n>m, (so2n, gln) with odd n, (E6, so10 + k).
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