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Preprojective modules: An introduction and some applications

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Representation Theory II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 832))

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References

  1. ALPERIN, J.L.: A preprojective module which is not strongly preprojective. To appear.

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  2. AUSLANDER, M., REITEN, I.: Representation theory of algebras III. Almost split sequences. Comm. in Algebra. Vol. 3 (1975), 239–294.

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  3. AUSLANDER, M., REITEN, I.: Representation theory of artin algebras IV. Invariants given by almost split sequences. Comm. in Algebra. Vol. 5 (1977), 441–518.

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  4. AUSLANDER,M., SMALØ,S.O.: Preprojective modules over artin algebras. To appear in Journal of Algebra.

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  5. DLAB,V.,RINGEL,C.M.: The representation theory of tame hereditary artin algebras. Representation theory of algebras. (Proc. Conf. Temple University, Philadelphia, PA, 1976). Lecture Notes in Pure and Applied Math. Vol. 37, M. Dekker, N.Y., 1978.

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  6. GABRIEL, P.: Indecomposable Representations II. Symposia Mathematica, Vol. XI. Academic Press, London (1973), 81–104.

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  7. PLATZECK, M.I.: Representation theory of algebras stably equivalent to hereditary artin algebras. Transactions of the A.M.S. 238 (1978), 89–128.

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  8. ROITER, A.V.: Unboundness of the dimension of the indecomposable representations of an algebra which has infinitely many indecomposable representations. Izv. Akad. SSSR. Ser. Mat. 32 (1968), 1275–1282.

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Authors and Affiliations

  1. Department of Mathematics, Brandeis University, 02154, Waltham, MA, USA

    M. Auslander & S. O. Smalø

  2. Matematisk institut, Universitetet i Trondheim, NLHT, 7055, Dragvoll, Norway

    M. Auslander & S. O. Smalø

Authors
  1. M. Auslander
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  2. S. O. Smalø
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Vlastimil Dlab Peter Gabriel

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© 1980 Springer-Verlag

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Auslander, M., Smalø, S.O. (1980). Preprojective modules: An introduction and some applications. In: Dlab, V., Gabriel, P. (eds) Representation Theory II. Lecture Notes in Mathematics, vol 832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088458

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  • DOI: https://doi.org/10.1007/BFb0088458

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10264-9

  • Online ISBN: 978-3-540-38387-1

  • eBook Packages: Springer Book Archive

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