On a certain family of U(b)-modules
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Publication:4636064
zbMATH Open1390.14164arXiv1603.00189MaRDI QIDQ4636064
Publication date: 23 April 2018
Abstract: We report on results of Kra'skiewicz and the author, and Watanabe on KP modules materializing Schubert polynomials, and filtrations having KP modules as their subquotients. We discuss applications of KP filtrations and ample KP bundles to positivity, due respectively to Watanabe and Fulton. The article corresponds to the talk given by the author at the conference "IMPANGA 15" in April 2015.
Full work available at URL: https://arxiv.org/abs/1603.00189
Schur functionsSchubert varietiesflag manifoldsDemazure modulesSchur functorshighest weight represenationsKP modules
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