Symmetric pairs and associated commuting varieties

• Autores: Dmitri I. Panyushev, Oksana Yakimova
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 2, 2007, págs. 307-321
• Idioma: inglés
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• Resumen

  • 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.