References
M. Auslander, S. Ding andØ. Solberg, Liftings and weak liftings of modules. J. Algebra156, 273–317 (1993).
M.Auslander, I.Reiten and S. O.SmalØ, Representation theory of Artin algebras. Cambridge Stud. Adv. Math.36, Cambridge 1995.
K. Bongartz, Algebras and quadratic forms. J. London Math. Soc. (2)28, 461–469 (1983).
O. Bretscher, C. LÄser andC. Riedtmann, Selfinjective and simply connected algebras. Manuscripta Math.36, 253–307 (1981).
W.Feit, The representation theory of finite groups. North-Holland Math. Library25, Amsterdam 1982.
J. A. Green, A lifting theorem for modular representations. Proc. Roy. Soc. London Ser. A252, 135–142 (1959).
D. Hughes andJ. Waschbüsch, Trivial extensions of tilted algebras. Proc. London Math. Soc.46, 347–364 (1983).
G. J. Janusz, Indecomposable modules for finite groups. Ann. of Math.89, 209–241 (1969).
H. Kupisch, Symmetrische Algebren mit endlich vielen unzerlegbaren Darstellungen I. J. Reine Angew. Math.219, 1–25 (1965).
H. Kupisch, Quasi-Frobenius algebras of finite representation type. LNM488, 184–200 (1975).
B. Roggon, Selfinjective and iterated tilted algebras of typeE 6,E 7,E 8. Preprint, Math. Fak. Univ. Bielefeld 1994.
A. Skowronski andJ. Waschbüsch, Representation-finite biserial algebras. J. Reine Angew. Math.345, 172–181 (1983).
J. Waschbüsch, Symmetrische Algebren vom endlichen Modultyp. J. Reine Angew. Math.341, 78–98 (1981).
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Michler, G., Solberg, Ø. The representation-finite symmetric algebras with liftable simple modules. Arch. Math 66, 441–454 (1996). https://doi.org/10.1007/BF01268863
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DOI: https://doi.org/10.1007/BF01268863