Properties of Singular Schubert Varieties

This thesis deals with the study of Schubert varieties, which are subsets of flag varieties indexed by elements of Weyl groups. We start by defining Lascoux elements in the Hecke algebra, and showing that they coincide with the Kazhdan-Lusztig basis elements in certain cases. We then construct a res...

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Bibliographic Details
Main Author: Koonz, Jennifer
Format: Others
Published: ScholarWorks@UMass Amherst 2013
Subjects:
Online Access:https://scholarworks.umass.edu/open_access_dissertations/839
https://scholarworks.umass.edu/cgi/viewcontent.cgi?article=1844&context=open_access_dissertations