Spherical orbits and representations of
Uε(g) |
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Authors: | N Cantarini G Carnoval M Costantini |
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Institution: | (1) Dipartimento di Matematica, Pura ed Applicata, Universita di Padova, Padova, Italy |
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Abstract: | Let Uε(g) be the simply connected quantized enveloping
algebra at roots of one associated to a finite
dimensional complex simple Lie algebra g.
The De Concini-Kac-Procesi conjecture on the
dimension of the irreducible representations of Uε(g)
is proved for the representations corresponding to the
spherical conjugacy classes of the simply connected
algebraic group G with Lie algebra g. We
achieve this result by means of a new characterization
of the spherical conjugacy classes of G in terms of
elements of the Weyl group. |
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Keywords: | |
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