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Generalized Joseph's decompositions

  • Author(s): Berenstein, Arkady
  • Greenstein, Jacob
  • et al.

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© 2015 Académie des sciences. 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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