MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Consider vector space with coordinates x1, ... xn. Consider polynomial deRham complex (also known as Koszul complex) which is generated by xi and dx_i. As an algebra it is just $C[x_i]\otimes \Lambda [dx_i]$.

From the point of view of super-mathematics this algebra is just polynomial algebra on the super-vector space $C^{n|n}$.

Question I wonder if there any application of super-math to usual math in this particular context ? For example does Lie supergroup GL(n|n), its the Lie algebra and its universal enveloping U(gl(n|n)) which acts on $C^{n|n}$ have meaning/interpretation/application to differential forms ?

Well there might be some relation in opposite direction - if so it is also welcome.

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.