Abstract
AbstractThe cup product in the cohomology of algebras over quadratic operads has been studied in the general setting of Koszul duality for operads. We study the cup product on the cohomology of n-ary totally associative algebras with an operation of even (homological) degree. This cup product endows the cohomology with the structure of an n-ary partially associative algebra with an operation of even or odd degree depending on the parity of n. In the cases n=3 and n=4, we provide an explicit definition of this cup product and prove its basic properties.
Publisher
Cambridge University Press (CUP)
Reference30 articles.
1. 7. Dotsenko, V. , Markl, M. and Remm, E. , Non-Koszulness of operads and positivity of Poincaré series. arXiv:1604.08580 [math.KT] (submitted on 28 April 2016).
2. Multivariable cochain operations and little 𝑛-cubes
3. On free partially associative triple systems
4. Assoziative tripelsysteme
5. Algebraic Operads
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Editorial;Glasgow Mathematical Journal;2020-11-11