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arXiv:math/0504145 [math.RT]AbstractReferencesReviewsResources

(Ir)Reducibility of some commuting varieties associated with involutions

Oksana Yakimova

Published 2005-04-07, updated 2005-05-08Version 2

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, (so_{2n}, gl_n) with odd n, (E_6, {so}_{10} + k).

Comments: New examples of reducible commuting varieties are added
Categories: math.RT, math.AG
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