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Generalized Joseph's decompositions
Published Web Location
http://dx.doi.org/10.1016/j.crma.2015.07.002No data is associated with this publication.
Abstract
We generalize the decomposition of Uq(g) introduced by A. Joseph in [5] and link it, for g semisimple, to the celebrated computation of central elements due to V. Drinfeld [2]. In that case, we construct a natural basis in the center of Uq(g) whose elements behave as Schur polynomials and thus explicitly identify the center with the ring of symmetric functions.
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