Generalized Joseph's decompositions
- Author(s): Berenstein, Arkady
- Greenstein, Jacob
- et al.
Published Web Locationhttp://dx.doi.org/10.1016/j.crma.2015.07.002
© 2015 Académie des sciences. We generalize the decomposition of Uq(g) introduced by A. Joseph in  and link it, for g semisimple, to the celebrated computation of central elements due to V. Drinfeld . 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.