Tensor algebra
= Tensor algebra
{title2=$T(V)$}
{wiki}
The tensor algebra of a <vector space> $V$ is the <graded algebra>
$$
T(V)=\bigoplus_{n\geq0}V^{\otimes n},
$$
with multiplication given by concatenation of tensors.
= Tensor algebra
{title2=$T(V)$}
{wiki}
The tensor algebra of a <vector space> $V$ is the <graded algebra>
$$
T(V)=\bigoplus_{n\geq0}V^{\otimes n},
$$
with multiplication given by concatenation of tensors.