Nilpotent Orbits and Representation Theory
timetable:
Mon 13 Jun, 14:30 - 15:45, Aula Bianchi Scienze
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On small modules for quantum groups at roots of unity
speaker: Giovanna Carnovale (Università di Padova)abstract: In 1992 De Concini Kac and Procesi predicted a bound for the dimension of simple modules for quantized enveloping algebras of a semisimple Lie algebra at the roots of unity. This conjecture has been recently proved by Sevostyanov under some coprimality conditions on the order of the roots. After his result it is natural to ask whether the predicted bound can be attained. Jointly with Iulian Simion we showed that it is enough to reduce the analysis to the case of rigid conjugacy classes in simple algebraic groups and we answered affirmatively in the case of sl(n) under standard coprimality assumptions.
timetable:
Mon 13 Jun, 14:30 - 15:45, Aula Bianchi Scienze
<< Go back