Tensor products of representations up to homotopy

2010/09/29 by Camilo Arias Abad, Marius Crainic, Abad, Camilo Arias +3 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1009.5852

openalex publication_date 2010/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the construction of tensor products of representations up to homotopy, which are the A-infinity 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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• Hochschild polytopes

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