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PIRSA:09060025

Towards an abstract description of tensor product

APA

Lehmann, D. (2009). Towards an abstract description of tensor product. Perimeter Institute for Theoretical Physics. https://pirsa.org/09060025

Daniel Lehmann Hebrew University of Jerusalem

Talk numberPIRSA:09060025
Source RepositoryPIRSA

Abstract

Tensor product is described in a family of categories that includes Set and Hilbert spaces. Such categories admit a "scalar" object which enables a definition of bi-arrows with two domains, generalizing functions of two variables. The tensor product is characterized by the expected universal property relating bi-arrows to arrows.