English

N-Cartan calculus

Representation Theory 2017-09-12 v2 Differential Geometry Rings and Algebras

Abstract

We examine the N-Koszul calculus for the N-symmetric algebras. The case N=2 corresponds to the Elie Cartan calculus. We conjecture that, as in the case N=2, the N-Cartan calculus extends to manifolds when N>2, which would provide a new type of noncommutative differential geometry.

Keywords

Cite

@article{arxiv.1708.06318,
  title  = {N-Cartan calculus},
  author = {Roland Berger},
  journal= {arXiv preprint arXiv:1708.06318},
  year   = {2017}
}

Comments

6 pages, minor corrections, added references

R2 v1 2026-06-22T21:19:47.451Z