Title	An answer to Kac's question on Coxeter exponents
Creator	Liu, Zhengwei
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-10-19T09:26
Description	In the ADE quiver theory, there is a correspondence between the eigenvalues of the Coxeter element and the eigenvalues of the adjacency matrix, captured by the Coxeter exponents. We formalize related notations and prove such a correspondence for a more general case: this includes the quiver of any module of any semisimple Lie algebra g at any level l. We answer a question posed by Victor Kac in 1994 and a recent comment by Terry Gannon in 2017.
Extent	41.0
Subject	Mathematics; Category theory; homological algebra; Functional analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Harvard University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-04-18
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0378300
URI	http://hdl.handle.net/2429/69772
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

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