A proof of the De Concini-Kac-Procesi conjecture

Alexey Sevastyanov (University of Aberdeen)

Tuesday 18th March, 2014 15:00-16:00 Maths 326


In 1992 De Concini, Kac and Procesi observed that isomorphism classes of irreducible representations of a quantum group at an odd primitive root of unity m are parameterized by conjugacy classes in the corresponding algebraic group. They also conjectured that the dimensions of irreducible representations corresponding to a given conjugacy class O are divisible by m^{1/2 dim O}. In this talk I shall prove an improved version of this conjecture and derive some important consequences of it related to q-W algebras.

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