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Bernstein Gelfand-Gelfand correspondence and WLP Schenck, Hal
Description
The Bernstein-Gelfand-Gelfand correspondence is an equivalence between certain derived categories over the polynomial algebra S and the exterior algebra E. In down to earth terms, it allows one to define a functor from S-modules to complexes of free E-modules with linear differential, and vice versa. This connects to the multiplication map used to investigate Lefschetz properties, but it seems little has been done to explore this. Some specific classes of objects that might be amenable to study using these techniques are (Artinian reduction of) squarefree monomial ideals, and ideals generated by products of linear forms
Item Metadata
Title |
Bernstein Gelfand-Gelfand correspondence and WLP
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-03-16T09:00
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Description |
The Bernstein-Gelfand-Gelfand correspondence is an equivalence between certain derived categories over the
polynomial algebra S and the exterior algebra E. In down to earth terms, it allows one to define a functor from S-modules
to complexes of free E-modules with linear differential, and vice versa. This connects to the multiplication map used to
investigate Lefschetz properties, but it seems little has been done to explore this. Some specific classes of objects that
might be amenable to study using these techniques are (Artinian reduction of) squarefree monomial ideals, and ideals
generated by products of linear forms
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Extent |
56 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Illinois Urbana Champaign
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Series | |
Date Available |
2016-09-20
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0314359
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International