Cohomology and deformations of oriented dialgebras
arXiv:2001.02386 · doi:10.1007/s40062-020-00265-1
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 -parameter formal deformation theory for oriented dialgebras and show that cohomology of oriented dialgebras controls such deformations.
19 pages