4 papers
The Hochschild cohomlogy ring of a self-injective Nakayama algebra is a Batalin-Vilkovisky algebra
Xiuli Bian, Tomohiro Itagaki, Wen Kou +2
Lambre, Zhou and Zimmermann showed that the Hochschild cohomology ring of a Frobenius algebra with semisimple Nakayama automorphism is a Batalin-Vilkovisky algebra. They asked whet…
Hochschild cohomology of the quadratic monomial algebra
Tomohiro Itagaki, Kazunori Nakamoto, Takeshi Torii
Let ${\rm N}_m(R) = \{ (a_{ij}) \in {\rm M}_m(R) \mid a_{11} = a_{22} = \cdots = a_{mm} \mbox{ and } a_{ij} = 0 \mbox{ for any } i > j \}$ for a commutative ring . Then ${\rm N}…
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…
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…