Resumen de Symmetric pairs and associated commuting varieties

Dmitri I. Panyushev, Oksana Yakimova

• Let be a -grading of a simple Lie algebra . The commuting variety associated with such a grading is the variety of pairs of commuting elements from . We study the problem of irreducibility of these varieties. Using invariant-theoretic technique, we present new instances of reducible and irreducible commuting varieties.