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Note über Idempotente im Gruppenring symmetrischer Gruppen

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Literaturverzeichnis

  1. F. Bergeron, N. Bergeron andA. M. Garsia, Idempotents for the free Lie algebra andq-enumeration. In: Invariant Theory and Tableaux, D. Stanton (Hsg.), IMA volumes in Math. Appl.19, 166–190, Berlin-Heidelberg-New York 1990.

    Google Scholar 

  2. D. Blessenohl andH. Laue, On Witt's dimension formula for free Lie algebras and a theorem of Klyachko. Bull. Austral. Math. Soc.40, 49–57 (1989).

    Google Scholar 

  3. D. Blessenohl andH. Laue, On the coefficients in the associative expansion of a Lie word. European J. Combin.12, 205–210 (1991).

    Google Scholar 

  4. A. M.Garsia, Combinatorics of the free Lie algebra and the symmetric group. In: Analysis et cetera, 309–382, New York-London 1990.

  5. N. D. Gupta, T. L. Laffey andM. W. Thomson, On the higher relation modules of a finite group. J. Algebra59, 172–187 (1979).

    Google Scholar 

  6. N.Jacobson, Lie Algebras. New York 1962.

  7. G.James and A.Kerber, The Representation Theory of the Symmetric Group. Encyclopedia Math. Appl.16, Reading, Mass. 1981.

  8. A. A. Klyachko, Lie elements in the tensor algebra. Siberian Math. J.15, 914–920 (1974).

    Google Scholar 

  9. H. Laue andD. Blessenohl, Symmetric groups and free Lie algebras. Proc. 2nd Intern. Group Th. Conf. Bressanone/Brixen, 1989, Rend. Circ. Matem. Palermo II,23 (Suppl.), 201–208 (1990).

    Google Scholar 

  10. D. E.Littlewood, The Theory of Group Characters and Matrix Representations of Groups. Oxford 1950.

  11. I. G.MacDonald, Symmetric Functions and Hall Polynomials. Oxford 1979.

  12. P. A.MacMahon, Combinatory Analysis I. Cambridge 1915.

  13. R. M. Thrall, On symmetrized Kronecker powers and the structure of the free Lie ring. Amer. J. Math.64, 371–388 (1942).

    Google Scholar 

  14. F. Wever, Über Invarianten in Lie'schen Ringen. Math. Ann.20, 563–580 (1949).

    Google Scholar 

  15. F. Wever, Operatoren in Lieschen Ringen. J. Reine Angew. Math.187, 44–55 (1949).

    Google Scholar 

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Author notes

  1. Dieter Blessenohl & Hartmut Laue

    Present address: Mathematisches Seminar, Christian-Albrechts-Universität, Ludewig-Meyn-Str. 4, DW-2300, Kiel 1

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    1. Dieter Blessenohl
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    2. Hartmut Laue
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    Additional information

    Der zweite der Autoren dankt dem Mathematischen Institut der Universität Warwick (England) für die erwiesene Gastfreundschaft anläßlich des Algebra-Symposiums zu Warwick 1991.

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    Blessenohl, D., Laue, H. Note über Idempotente im Gruppenring symmetrischer Gruppen. Arch. Math 59, 545–549 (1992). https://doi.org/10.1007/BF01194845

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