Representation-finite selfinjective algebras of class D n

Christine Riedtmann

Compositio Mathematica (1983)

  • Volume: 49, Issue: 2, page 231-282
  • ISSN: 0010-437X

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Riedtmann, Christine. "Representation-finite selfinjective algebras of class $D_n$." Compositio Mathematica 49.2 (1983): 231-282. <http://eudml.org/doc/89612>.

@article{Riedtmann1983,
author = {Riedtmann, Christine},
journal = {Compositio Mathematica},
keywords = {finite-dimensional selfinjective representation-finite algebras; Dynkin graph; tree class; Auslander-Reiten quivers; basic algebras; translation quiver; configurations; automorphism groups; basic connected algebras},
language = {eng},
number = {2},
pages = {231-282},
publisher = {Martinus Nijhoff Publishers},
title = {Representation-finite selfinjective algebras of class $D_n$},
url = {http://eudml.org/doc/89612},
volume = {49},
year = {1983},
}

TY - JOUR
AU - Riedtmann, Christine
TI - Representation-finite selfinjective algebras of class $D_n$
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 49
IS - 2
SP - 231
EP - 282
LA - eng
KW - finite-dimensional selfinjective representation-finite algebras; Dynkin graph; tree class; Auslander-Reiten quivers; basic algebras; translation quiver; configurations; automorphism groups; basic connected algebras
UR - http://eudml.org/doc/89612
ER -

References

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  1. [1] K. Bongartz and P. Gabriel: Covering spaces in representation-theory. Invent. Math.65 (1982) 331-378. Zbl0482.16026MR643558
  2. [2] O. Bretscher, CH. Läser and CH. Riedtmann: Selfinjective and simply connected algebras. Manuscripta Math. 36 (1981) 253-307. Zbl0478.16024MR641977
  3. [3] P. Gabriel and Ch. Riedtmann: Group representations without groups. Comment. Math. Helvetici54 (1979) 240-287. Zbl0447.16023MR535058
  4. [4] Ch. Riedtmann: Algebren, Darstellungsköcher, Überlagerungen und zurück. Comment. Math. Helvetici55 (1980) 199-224. Zbl0444.16018MR576602
  5. [5] Ch. Riedtmann:Representation-finite selfinjective algebras of class An, in "Representation Theory II". Springer Lecture Notes 832 (1980) 449-520. Zbl0455.16014MR607169
  6. [6] Ch. Riedtmann: Configurations of ZDn, J. of Algebra, to appear. Zbl0514.16018MR704755
  7. [7] J. Waschbüsch: Symmetrische Algebren vom endlichen Modultyp. J. reine angew. Math. 321 (1981) 78-98. Zbl0441.16027MR597981

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