Title	A Murnaghan-Nakayama Rule for Quantum Cohomology of the Flag Manifold
Creator	Benedetti , Carolina
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-05-18T10:58
Description	Given $k<n$ and a hook $\lambda$ inside a $k,(n-k)$ box, Mészáros et. al. made use of right operators to provide a rule for the expansion of the quantum Schur polynomial $s_{\lambda}$ in term of generators in the quantum Fomin-Kirillov algebra. In this talk, we will make use of Mészáros et. al. result to provide a different combinatorial interpretation of such expansion, using left operators. Moreover, we will derive a combinatorial rule for the product of a quantum power-sum polynomial times a quantum Schubert polynomial. This is current work with N. Bergeron, L. Colmenarejo, F. Saliola, F. Sottile.
Extent	18 minutes
Subject	Mathematics; Combinatorics; Group theory and generalizations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Fields Institute
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-11-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0357944
URI	http://hdl.handle.net/2429/63598
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos