English

Cohomology and deformations of oriented dialgebras

Rings and Algebras 2020-09-29 v2

Abstract

We introduce a notion of oriented dialgebra and develop a cohomology theory for oriented dialgebras based on the possibility to mix the standard chain complexes computing group cohomology and associative dialgebra cohomology. We also introduce a 11-parameter formal deformation theory for oriented dialgebras and show that cohomology of oriented dialgebras controls such deformations.

Keywords

Cite

@article{arxiv.2001.02386,
  title  = {Cohomology and deformations of oriented dialgebras},
  author = {Ali N. A. Koam and Ripan Saha},
  journal= {arXiv preprint arXiv:2001.02386},
  year   = {2020}
}

Comments

19 pages