Title	Vertex operators and Giambelli identities
Creator	Jing, Naihuan
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-02-10T10:29
Description	We use the Jacobi-Trudi identity to incorporate several well-known families of symmetric functions to uniformly treat generalized Schur symmetric functions and their vertex operator realization. Under the general set-up, we prove that Gambelli identity also holds, thus derive several scattered results under one umbrella. In particular, this includes Weyl's character formulas of classical simple Lie algebras and the shifted Schur symmetric functions studied by Olshanski-Okounkov. This is joint work with Natasha Rozhkovskaya.
Extent	46 minutes
Subject	Mathematics; Nonassociative rings and algebras; Associative rings and algebras; Representation theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: North Carolina State University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-08-11
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0307471
URI	http://hdl.handle.net/2429/58755
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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