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 . We connect this to the deformation of these
Cite this paper
D. Al-Kadi, "The Second Hochschild Cohomology Group for One-Parametric Self-Injective Algebras," Advances in Pure Mathematics, Vol. 3 No. 5, 2013, pp. 458-469. doi: 10.4236/apm.2013.35065.
 R. Bocian, T. Holm and A. Skowroński, “Derived Equivalence Classification of One-Parametric Self-Injective Algebras,” Journal of Pure and Applied Algebra, Vol. 207, No. 3, 2006, pp. 491-536.
 E. L. Green and N. Snashall, “Projective Bimodule Resolutions of an Algebra and Vanishing of the Second Hochschild Cohomology Group,” Forum Mathematicum, Vol. 16, No. 1, 2004, pp. 17-36.
 D. Al-Kadi, “Self-Injective Algebras and the Second Hochschild Cohomology Group,” Journal of Algebra, Vol. 321, No. 4, 2009, pp. 1049-1078.
 D. Happel, “Hochschild Cohomology of Finite-Dimensional Algebras,” Lecture Notes in Mathematics, Spring-Verlag, Berlin, 1989.
 E. L. Green, Ø. Solberg and D. Zacharia, “Minimal Projective Resolutions,” Transactions of the American Mathematical Society, Vol. 353, No. 7, 2001, pp. 2915-2939.