TITLE:
The Second Hochschild Cohomology Group for One-Parametric Self-Injective Algebras
AUTHORS:
Deena Al-Kadi
KEYWORDS:
Hochschild Cohomology; Self-Injective Algebras; Socle Deformation
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.5,
July
23,
2013
ABSTRACT:
In this paper, we determine
the second Hochschild cohomology group for a class of self-injective algebras
of tame representation type namely, which are standard one-parametric but not
weakly symmetric. These were classified up to derived equivalence by Bocian,
Holm and Skowroński in [1]. We connect this to the deformation of these
algebras.