Abad, C A; Crainic, M; Dherin, B (2011). Tensor products of representations up to homotopy. Journal of Homotopy and Related Structures, 6(2):239-288.
We study the construction of tensor products of representations up to homotopy, which are the $A_\infty$ version of ordinary representations. We provide formulas for the construction of tensor products of representations up to homotopy and of morphisms between them, and show that these formulas give the homotopy category a monoidal structure which is uniquely defined up to equivalence.
We study the construction of tensor products of representations up to homotopy, which are the $A_\infty$ version of ordinary representations. We provide formulas for the construction of tensor products of representations up to homotopy and of morphisms between them, and show that these formulas give the homotopy category a monoidal structure which is uniquely defined up to equivalence.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 2011 |
| Deposited On: | 17 Feb 2012 20:26 |
| Last Modified: | 30 Jul 2020 03:49 |
| Publisher: | Tbilisi Centre for Mathematical Sciences |
| ISSN: | 1512-2891 (E) |
| OA Status: | Green |
| Related URLs: | http://arxiv.org/abs/1009.5852v1 http://tcms.org.ge/Journals/JHRS/ (Publisher) |
Abad, C A