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arXiv 2001.023862020-01math.RA

Cohomology and deformations of oriented dialgebras

Ali N. A. Koam, Ripan Saha

备注：: 19 pages
发表信息：: J. Homotopy Relat. Struct.(2020)
DOI：: 10.1007/s40062-020-00265-1

英文摘要：

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 $1$-parameter formal deformation theory for oriented dialgebras and show that cohomology of oriented dialgebras controls such deformations.

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