Title	Quantum symmetry for quantum projective spaces
Creator	Chirvasitu, Alexandru
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-09-16T09:01
Description	AS-regular algebras are non-commutative analogues of smooth projective schemes, with those of global dimension four behaving in many ways like three-dimensional projective space. In this talk I will introduce a specific family of such algebras arising from certain elliptic solutions of the quantum Yang-Baxter equation and study the phenomenon whereby a quantum group acts on each algebra in the family. The quantum group action gives rise to autoequivalences of the category of (graded) modules that do not come from genuine algebra automorphisms. This then helps in classifying certain well-behaved modules that play the role of lines inside the quantum projective space. (joint w/ S. Paul Smith)
Extent	31 minutes
Subject	Mathematics; Associative rings and algebras; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Washington
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-03-18
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343266
URI	http://hdl.handle.net/2429/60946
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

Quantum symmetry for quantum projective spaces Chirvasitu, Alexandru

Description

Item Metadata

Item Media

Item Citations and Data

Rights