English

On a certain family of U(b)-modules

Representation Theory 2016-10-11 v3 Algebraic Geometry Combinatorics

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.

Keywords

Cite

@article{arxiv.1603.00189,
  title  = {On a certain family of U(b)-modules},
  author = {Piotr Pragacz},
  journal= {arXiv preprint arXiv:1603.00189},
  year   = {2016}
}

Comments

22 pages; v3: a reference added, the picture properly located