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SUMMARY:Nonholonomic simple modules over enveloping algebras - Severino Co
 llier Coutinho\, Instituto de Matemática-UFRJ
DTSTART:20150113T163000Z
DTEND:20150113T173000Z
UID:TALK56234@talks.cam.ac.uk
CONTACT:David Stewart
DESCRIPTION:A finitely generated module M over a complex algebra A is holo
 nomic if its Gelfand-Kirillov dimension GKdim(M) is equal to (1/2)GKdim(A/
 annA(M)). Although holonomic modules have very important applications\, mo
 st A-modules are nonholonomic. However\, simple (irreducible) nonholonomic
  modules are surprisingly difficult to construct. In this talk I will expl
 ain how a recent result of J. V. Pereira (IMPA) concerning holomorphic fol
 iations can be used to construct nonholonomic simple modules over the enve
 loping algebra of a semisimple Lie algebra which has at least one direct s
 ummand not of type A_1.
LOCATION:MR12
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