Nonholonomic simple modules over enveloping algebras

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• Severino Collier Coutinho, Instituto de Matemática-UFRJ
• Tuesday 13 January 2015, 16:30-17:30
• MR12.

If you have a question about this talk, please contact David Stewart.

A finitely generated module M over a complex algebra A is holonomic if its Gelfand-Kirillov dimension GKdim(M) is equal to (1/2)GKdim(A/annA(M)). Although holonomic modules have very important applications, most A-modules are nonholonomic. However, simple (irreducible) nonholonomic modules are surprisingly difficult to construct. In this talk I will explain how a recent result of J. V. Pereira (IMPA) concerning holomorphic foliations can be used to construct nonholonomic simple modules over the enveloping algebra of a semisimple Lie algebra which has at least one direct summand not of type A_1.

This talk is part of the Algebra and Representation Theory Seminar series.

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