The balanced tensor product of module categories
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-exa...
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| Format: | Journal article |
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Duke University Press
2018
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| _version_ | 1826264133433032704 |
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| author | Douglas, C Schommer-Pries, C Snyder, N |
| author_facet | Douglas, C Schommer-Pries, C Snyder, N |
| author_sort | Douglas, C |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T20:02:52Z |
| format | Journal article |
| id | oxford-uuid:27ea85a8-eb9b-42a9-9009-58c6c9d9d646 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:02:52Z |
| publishDate | 2018 |
| publisher | Duke University Press |
| record_format | dspace |
| spelling | oxford-uuid:27ea85a8-eb9b-42a9-9009-58c6c9d9d6462022-03-26T12:09:45ZThe balanced tensor product of module categoriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:27ea85a8-eb9b-42a9-9009-58c6c9d9d646Symplectic Elements at OxfordDuke University Press2018Douglas, CSchommer-Pries, CSnyder, NThe 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. |
| spellingShingle | Douglas, C Schommer-Pries, C Snyder, N The balanced tensor product of module categories |
| title | The balanced tensor product of module categories |
| title_full | The balanced tensor product of module categories |
| title_fullStr | The balanced tensor product of module categories |
| title_full_unstemmed | The balanced tensor product of module categories |
| title_short | The balanced tensor product of module categories |
| title_sort | balanced tensor product of module categories |
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