Hochschild cohomology for Möbius algebra
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 173-200
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Additive structure of the Hochschild cohomology ring for Möbius algebra is described in this paper. We use a structure of the bimodule minimal projective resolution of the algebra. This resolution was constructed in the previous publication.
[1] C. Riedtmann, “Algebren, Darstellungsköcher, Überlagerungen und zurück”, Comment. Math. Helv., 55 (1980), 199–224 | DOI | MR | Zbl
[2] C. Riedtmann, “Representation-finite self-injective algebras of class $A_n$”, Lect. Notes Math., 832, Berlin et al., 1980, 449–520 | MR | Zbl
[3] A. I. Generalov, M. A. Kachalova, “Bimodulnaya rezolventa algebry Mebiusa”, Zap. nauchn. semin. POMI, 321, 2005, 36–66 | MR | Zbl
[4] K. Erdmann, T. Holm, N. Snashall, “Twisted bimodules and Hochschild cohomology for self-injective algebras of class $A_n$, II”, Algebras and Repr. Theory, 5 (2002), 457–482 | DOI | MR | Zbl