Journal article
The balanced tensor product of module categories
- Abstract:
- The balanced tensor product M⊗AN of two modules over an algebra A is the vector space corepresenting A-balanced bilinear maps out of the product M×N. The balanced tensor product M⊠CN of two module categories over a monoidal linear category C is the linear category corepresenting C-balanced right-exact bilinear functors out of the product category M×N. We show that the balanced tensor product can be realized as a category of bimodule objects in C, provided the monoidal linear category is finite and rigid.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Accepted manuscript, pdf, 456.3KB, Terms of use)
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- Publisher copy:
- 10.1215/21562261-2018-0006
Authors
+ Engineering and Physical Sciences Research Council
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- Funding agency for:
- Douglas, C
- Grant:
- EP/K015478/1
+ Miller Research Fellowship
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- Funding agency for:
- Douglas, C
- Grant:
- EP/K015478/1
- Publisher:
- Duke University Press
- Journal:
- Kyoto Journal of Mathematics More from this journal
- Volume:
- 59
- Issue:
- 1
- Pages:
- 167-179
- Publication date:
- 2018-10-03
- Acceptance date:
- 2017-01-12
- DOI:
- EISSN:
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2154-3321
- ISSN:
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2156-2261
- Keywords:
- Pubs id:
-
pubs:821734
- UUID:
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uuid:27ea85a8-eb9b-42a9-9009-58c6c9d9d646
- Local pid:
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pubs:821734
- Source identifiers:
-
821734
- Deposit date:
-
2018-05-01
- ARK identifier:
Terms of use
- Copyright holder:
- Kyoto University
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 Kyoto University. This is the accepted manuscript version of the article. The final version is available online from Duke University Press at: https://doi.org/10.1215/21562261-2018-0006
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