Tsukuba Journal of Mathematics

Hochschild cohomology ring of the generalized quaternion algebras

Takao Hayami

Full-text: Open access

Abstract

We will give an efficient bimodule projective resolution of the generalized quaternion Z algebra Γ. As a main result, we will determine the ring structure of the Hochschild cohomology HH*(Γ) by calculating the Yoneda products using this resolution.

Article information

Source
Tsukuba J. Math., Volume 37, Number 1 (2013), 13-25.

Dates
First available in Project Euclid: 15 July 2013

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1373893403

Digital Object Identifier
doi:10.21099/tkbjm/1373893403

Mathematical Reviews number (MathSciNet)
MR3112416

Zentralblatt MATH identifier
1273.16011

Subjects
Primary: 16E40: (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)

Keywords
Hochschild cohomology ring bimodule projective resolution generalized quaternion algebra Yoneda product

Citation

Hayami, Takao. Hochschild cohomology ring of the generalized quaternion algebras. Tsukuba J. Math. 37 (2013), no. 1, 13--25. doi:10.21099/tkbjm/1373893403. https://projecteuclid.org/euclid.tkbjm/1373893403


Export citation