(Ir)Reducibility of some commuting varieties associated with involutions
Representation Theory
2007-05-23 v2 Algebraic Geometry
Abstract
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).
Cite
@article{arxiv.math/0504145,
title = {(Ir)Reducibility of some commuting varieties associated with involutions},
author = {Oksana Yakimova},
journal= {arXiv preprint arXiv:math/0504145},
year = {2007}
}
Comments
New examples of reducible commuting varieties are added