# Tensor products of representations up to homotopy - Zurich Open Repository and Archive

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.

## Abstract

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.

## Abstract

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.

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## Additional indexing

Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics English 2011 17 Feb 2012 20:26 05 Apr 2016 15:33 Tbilisi Centre for Mathematical Sciences 1512-2891 (E) http://arxiv.org/abs/1009.5852v1http://tcms.org.ge/Journals/JHRS/ (Publisher)

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