Tensor algebra
id:
tensor-algebra-268-2634552
title:
Tensor algebra
text:
In mathematics, the tensor algebra of a vector space V, denoted T(V) or T•(V), is the algebra of tensors on V (of any rank) with multiplication being the tensor product. It is the free algebra on V, in the sense of being left adjoint to the forgetful functor from algebras to vector spaces: it is the "most general" algebra containing V, in the sense of the corresponding universal property (see below). The tensor algebra is important because many other algebras arise as quotient algebras of T(V).
brand slug:
wiki
category slug:
encyclopedia
description:
Universal construction in multilinear algebra
original url:
https://en.wikipedia.org/wiki/Tensor_algebra
date created:
date modified:
2024-01-12T15:09:58Z
main entity:
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image:
fields total:
13
integrity:
14