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arXiv · 2001.02386

Cohomology and deformations of oriented dialgebras

Ali N. A. Koam·Ripan Saha
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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 $1$-parameter formal deformation theory for oriented dialgebras and show that cohomology of oriented dialgebras controls such deformations.

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Ali N. A. Koam, Ripan Saha. 2020-01-08. Cohomology and deformations of oriented dialgebras. https://doi.org/10.1007/s40062-020-00265-1

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