Generalized Joseph's decompositions
arXiv:1504.06362 · doi:10.1016/j.crma.2015.07.002
Abstract
We generalize the decomposition of introduced by A. Joseph and relate it, for semisimple, to the celebrated computation of central elements due to V. Drinfeld. In that case we construct a natural basis in the center of whose elements behave as Schur polynomials and thus explicitly identify the center with the ring of symmetric functions.
AMSLaTeX, 7 pages; referee's suggestions incorporated, typos corrected