On a certain family of U(b)U(\mathfrak b)-modules

  • Piotr Pragacz

    Polish Academy of Sciences, Warsaw, Poland
On a certain family of $U(\mathfrak b)$-modules cover
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Abstract

We report on results of Kraskiewicz and the author, and Watanabe on KP modules materializing Schubert polynomials, and filtrations having KP modules as their sub quotients. We discuss applications of the bundles Sw(E)S_w(E) for filtered ample bundles EE and KP filtrations to positivity due to Fulton and Watanabe respectively.