On the periodicity of the Auslander-Reiten translation and the Nakayama functor for the enveloping algebra of self-injective Nakayama algebras
Author:
Affiliation:
1. Department of Mathematics, Tokyo University of Science, Wakamiya 26, Shinjuku, Tokyo 162-0827, Japan
Publisher
SUT Journal of Mathematics - Tokyo University of Science
Subject
General Mathematics
Reference9 articles.
1. [ARS] M. Auslander, I. Reiten and S. Smalø, Representation theory of artin algebras, Cambridge studies in advanced mathematics 36, Cambridge University Press, 1995.
2. [F] T. Furuya, On an algebra associated with a circular quiver and the periodic projective bimodule resolution, Tsukuba J. Math. 29 (2005), 247–258.
3. [G] P. Gabriel, Auslander-Reiten sequences and representation-finite algebras, SLMN 831, Springer, Berlin (1980), 1–71.
4. [H] D. Happel, Hochschild cohomology of finite-dimensional algebras, Séminaire d’Algèbre Paul Dubreil et Marie-Paul Malliavin (ed. M.-P. Malliavin), Lecture Notes in Math., 1404 (Springer, New York, 1989), 108–126.
5. [M] S. MacLane, Homology, Springer-Verlag, Berlin, Heidelberg, New York, 1963.
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