A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group

For an affine Weyl group W, we explicitly determine the elements for which the Möbius function of the subposet of affine Grassmannians under the Bruhat order is non-zero by utilizing the quantum Bruhat graph of the classical Weyl group associated to W . Then we examine embedding stable and consiste...

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Bibliographic Details
Main Author: Lugo, Michael Ruben
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2019
Subjects:
Online Access:http://hdl.handle.net/10919/89477