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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeDec 7th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this pointer: * [[Damien Calaque]], [[Pavel Etingof]], _Lectures on tensor categories_, IRMA Lectures in Mathematics and Theoretical Physics 12, 1-38 (2008) ([arXiv:math/0401246](https://arxiv.org/abs/math/0401246)) <a href="https://ncatlab.org/nlab/revision/diff/tensor+category/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/tensor+category/13">v13</a>, <a href="https://ncatlab.org/nlab/show/tensor+category">current</a>

   added this pointer:

   • Damien Calaque, Pavel Etingof, Lectures on tensor categories, IRMA Lectures in Mathematics and Theoretical Physics 12, 1-38 (2008) (arXiv:math/0401246)

   diff, v13, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 16th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Pavel Etingof]], [[Shlomo Gelaki]], [[Dmitri Nikshych]], [[Victor Ostrik]], *Tensor Categories*, AMS Mathematical Surveys and Monographs **205** (2015) $[$[ISBN:978-1-4704-3441-0](https://bookstore.ams.org/surv-205)$]$ <a href="https://ncatlab.org/nlab/revision/diff/tensor+category/15">diff</a>, <a href="https://ncatlab.org/nlab/revision/tensor+category/15">v15</a>, <a href="https://ncatlab.org/nlab/show/tensor+category">current</a>

   added pointer to:

   • Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik, Tensor Categories, AMS Mathematical Surveys and Monographs 205 (2015) $[$ISBN:978-1-4704-3441-0$]$

   diff, v15, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeDec 17th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Bojko Bakalov]], [[Alexander Kirillov]], *Lectures on tensor categories and modular functors*, Universoty Lecture Series **21**, Amer. Math. Soc. (2001) &lbrack;[web](http://www.math.stonybrook.edu/~kirillov/tensor/tensor.html), [ams:ulect/21](https://bookstore.ams.org/view?ProductCode=ULECT/21)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/tensor+category/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/tensor+category/17">v17</a>, <a href="https://ncatlab.org/nlab/show/tensor+category">current</a>

   added pointer to:

   • Bojko Bakalov, Alexander Kirillov, Lectures on tensor categories and modular functors, Universoty Lecture Series 21, Amer. Math. Soc. (2001) [web, ams:ulect/21]

   diff, v17, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeApr 29th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItextouched the wording in the Idea-section ([here](https://ncatlab.org/nlab/show/tensor+category#Idea)) in particular added a pointer to *[[monoidal enriched category]]* <a href="https://ncatlab.org/nlab/revision/diff/tensor+category/18">diff</a>, <a href="https://ncatlab.org/nlab/revision/tensor+category/18">v18</a>, <a href="https://ncatlab.org/nlab/show/tensor+category">current</a>

   touched the wording in the Idea-section (here)

   in particular added a pointer to monoidal enriched category

   diff, v18, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeMay 10th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Masaki Kashiwara]], [[Pierre Schapira]], Section 4 of: *[[Categories and Sheaves]]*, Grundlehren der Mathematischen Wissenschaften **332**, Springer (2006) &lbrack;[doi:10.1007/3-540-27950-4](https://link.springer.com/book/10.1007/3-540-27950-4), [pdf](https://www.maths.ed.ac.uk/~v1ranick/papers/kashiwara2.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/tensor+category/19">diff</a>, <a href="https://ncatlab.org/nlab/revision/tensor+category/19">v19</a>, <a href="https://ncatlab.org/nlab/show/tensor+category">current</a>

   added pointer to:

   • Masaki Kashiwara, Pierre Schapira, Section 4 of: Categories and Sheaves, Grundlehren der Mathematischen Wissenschaften 332, Springer (2006) [doi:10.1007/3-540-27950-4, pdf]

   diff, v19, current

6. • CommentRowNumber6.
   • CommentAuthorperezl.alonso
   • CommentTimeMar 12th 2024
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexpointer: * Zhenbang Zuo, Gongxiang Liu. *Quotient Category of a Multiring Category* (2024). ([arXiv:2403.06244](https://arxiv.org/abs/2403.06244)). <a href="https://ncatlab.org/nlab/revision/diff/tensor+category/21">diff</a>, <a href="https://ncatlab.org/nlab/revision/tensor+category/21">v21</a>, <a href="https://ncatlab.org/nlab/show/tensor+category">current</a>

   pointer:

   • Zhenbang Zuo, Gongxiang Liu. Quotient Category of a Multiring Category (2024). (arXiv:2403.06244).

   diff, v21, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeAug 24th 2024
   • (edited Aug 24th 2024)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded a reference for the use of "quasi-tensor category" for braided monoidal categories which are not-necessarily symmetric: * [[Alexei Davydov]]: *Monoidal categories and functors*, Chapter 1 in: *Monoidal Categories*, J. Math. Sci.(New York) **88** (1998) 457-519 &lbrack;[doi:10.1007/BF02365309](https://doi.org/10.1007/BF02365309)&rbrack; also adjusted the wording around where this is mentioned, since Davydov does not speak of linear monoidal categories at this point. (Indeed, the mentioning of "quasitensor" in the entry dates back to [revision 1](https://ncatlab.org/nlab/revision/tensor+category/1) when this page was not focused on linear monoidal categories yet.) <a href="https://ncatlab.org/nlab/revision/diff/tensor+category/23">diff</a>, <a href="https://ncatlab.org/nlab/revision/tensor+category/23">v23</a>, <a href="https://ncatlab.org/nlab/show/tensor+category">current</a>

   added a reference for the use of “quasi-tensor category” for braided monoidal categories which are not-necessarily symmetric:

   • Alexei Davydov: Monoidal categories and functors, Chapter 1 in: Monoidal Categories, J. Math. Sci.(New York) 88 (1998) 457-519 [doi:10.1007/BF02365309]

   also adjusted the wording around where this is mentioned, since Davydov does not speak of linear monoidal categories at this point.

   (Indeed, the mentioning of “quasitensor” in the entry dates back to revision 1 when this page was not focused on linear monoidal categories yet.)

   diff, v23, current

8. • CommentRowNumber8.
   • CommentAuthorperezl.alonso
   • CommentTimeAug 24th 2024
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexOh that use of quasi- is somewhat unfortunate since it clashes with EGNO's use of quasi-tensor functor, which is motivated by looking at categories of representations of [[quasi-Hopf algebra|quasi-Hopf algebras]]. This entry does not mention functors though, so I guess I shouldn't introduce further notes on this.

   Oh that use of quasi- is somewhat unfortunate since it clashes with EGNO’s use of quasi-tensor functor, which is motivated by looking at categories of representations of quasi-Hopf algebras. This entry does not mention functors though, so I guess I shouldn’t introduce further notes on this.