8:09 AM
@MartinSleziak The question "The “semi-symmetric” algebra of a vector space" has been bumped recently. It still has a deprecated tag and also no top-level tag.
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If $V$ is a vector space over a field $K$, then the symmetric algebra $S(V)$ is defined as the tensor algebra $T(V)$ factorized by the two-sided ideal generated by $x\otimes y-y\otimes x$, with $x,y\in V$. The homogeneous component of degree $n$ of $S(V)$ is $S^n(V)=T^n(V)/I_n$, where $I_n$ is th...