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A description of the kernel of projection map from the tensor algebra to the symmetric algeb...

$\bf Theorem$ We have an exact sequence $$0\to M(V)\to T(V)\to S(V)\to 0,$$ where the left map is the morphism of $T(V)$-bimodules given on generators by $x\wedge y\mapsto [x,y]$ (By $[x,y]$ we mean …
Constantin-Nicolae Beli's user avatar