English

Non-commutative first order differential calculus over finitely generated associative algebras

Mathematical Physics 2019-09-13 v2 math.MP Quantum Algebra

Abstract

In this review article the construction of first order coordinate differential calculi on finitely generated and finitely related associative algebras are considered and explicit construction of the bimodule of one form over such algebras is presented. The concept of optimal algebras for such calculi are also discussed. Detailed computations presented will make this note particularly useful for physicists.

Keywords

Cite

@article{arxiv.1909.05077,
  title  = {Non-commutative first order differential calculus over finitely generated associative algebras},
  author = {Ali-Reza Assar and Roya Famili},
  journal= {arXiv preprint arXiv:1909.05077},
  year   = {2019}
}

Comments

27 pages

R2 v1 2026-06-23T11:12:21.249Z