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Classification of certain braided tensor categories Wenzl, Hans
Description
By definition, the endomorphism spaces of tensor powers of objects of a braided tensor category carries a representation of the braid group. For Lie types A and C, this can be used to classify all braided tensor categories whose fusion ring is the one of the representation category of the related Lie algebra. We also discuss the situation for other classical Lie types and some exceptional types. There are several different ways how to construct TQFTs and modular functors. One of the motivations for these categorical questions was to decide when these constructions yield the same results.
Item Metadata
Title |
Classification of certain braided tensor categories
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-09-25T16:48
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Description |
By definition, the endomorphism spaces of tensor powers
of objects of a braided tensor category carries a representation
of the braid group. For Lie types A and C, this can be used
to classify all braided tensor categories whose fusion ring
is the one of the representation category of the related Lie algebra.
We also discuss the situation for other classical Lie types
and some exceptional types.
There are several different ways how to construct TQFTs and
modular functors. One of the motivations for these categorical
questions was to decide when these constructions yield
the same results.
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Extent |
45.0
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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 California, San Diego
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Series | |
Date Available |
2019-03-25
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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 |
10.14288/1.0377417
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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