Symmetric algebra
= Symmetric algebra
{title2=$S(V)$}
{wiki}
The symmetric algebra is the quotient of $T(V)$ by the ideal generated by $v\otimes w-w\otimes v$. It is graded by <symmetric powers>:
$$
S(V)=\bigoplus_{n\geq0}S^nV.
$$
= Symmetric algebra
{title2=$S(V)$}
{wiki}
The symmetric algebra is the quotient of $T(V)$ by the ideal generated by $v\otimes w-w\otimes v$. It is graded by <symmetric powers>:
$$
S(V)=\bigoplus_{n\geq0}S^nV.
$$