Bertram Kostant

  1. Cent U(n) and a construction of Lipsman-Wolf.

    Authors: Bertram Kostant
    Subjects: Representation Theory
    Abstract

    Let $G$ be a complex simply-connected semisimple Lie group and let $\g=
    \hbox{\rm Lie}\,G$. Let $\g = \n_- +\hh + \n$ be a triangular decomposition of
    $\g$. The authors in [LW] introduce a very nice representation theory idea for
    the construction of certain elements in $\hbox{\rm cent}\,U(n)$. A key lemma in
    [LW] is incorrect but the idea is in fact valid. In our paper here we modify
    the construction so as to yield the desired elements in $\hbox{\rm
    cent}\,U(\n)$.

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