(Ir)Reducibility of some commuting varieties associated with involutions

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dc.creatorYakimova, Oksana
dc.date2005-04-07
dc.date2005-05-08
dc.date.accessioned2026-07-07T05:18:53Z
dc.date.available2026-07-07T05:18:53Z
dc.descriptionHere 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).
dc.descriptionNew examples of reducible commuting varieties are added
dc.identifierhttps://arxiv.org/abs/math/0504145
dc.identifierhttp://arxiv.org/abs/math/0504145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74825
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.title(Ir)Reducibility of some commuting varieties associated with involutions
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