3 papers
math.RA2022
Symmetric cohomology and symmetric Hochschild cohomology of cocommutative Hopf algebras
Yuta Shiba, Katsunori Sanada, Ayako Itaba
Staic defined symmetric cohomology of groups and studied that the secondary symmetric cohomology group is corresponding to group extensions and the injectivity of the canonical map…
math.RT2019
A Batalin-Vilkovisky structure on the complete cohomology ring of a Frobenius algebra
Tomohiro Itagaki, Katsunori Sanada, Satoshi Usui
We study the existence of a Batalin-Vilkovisky differential on the complete cohomology ring of a Frobenius algebra.We construct a Batalin-Vilkovisky differential on the complete co…
math.RA2017
The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras
Hideyuki Koie, Tomohiro Itagaki, Katsunori Sanada
Let be a Hochschild extension algebra of a finite dimensional algebra over a field by the standard duality -bimodule . In this paper, we determin…