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arXiv · 1504.06362

Generalized Joseph's decompositions

Arkady Berenstein·Jacob Greenstein
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Abstract

We generalize the decomposition of $U_q(\mathfrak g)$ introduced by A. Joseph and relate it, for $\mathfrak g$ semisimple, to the celebrated computation of central elements due to V. Drinfeld. In that case we construct a natural basis in the center of $U_q(\mathfrak g)$ whose elements behave as Schur polynomials and thus explicitly identify the center with the ring of symmetric functions.

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Arkady Berenstein, Jacob Greenstein. 2015-04-23. Generalized Joseph's decompositions. https://doi.org/10.1016/j.crma.2015.07.002

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