Polynomial differential form

In algebra, the ring of polynomial differential forms on the standard n-simplex is the diffential graded algebra

$\Omega _{\text{poly}}(\Delta ^{n})=\mathbb {Q} [t_{0},...,t_{n},dt_{0},...,dt_{n}]/(\sum t_{i}-1,\sum t_{i})$

with the differential

$d:$

given by

References

• Hinich, Vladimir (1997-02-11). "Homological algebra of homotopy algebras". arXiv:q-alg/9702015.

External links

• https://ncatlab.org/nlab/show/differential+forms+on+simplices