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Combinatorics and Representation Theory of Lie Superalgebras over Letterplace Superalgebras

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Computer Algebra and Geometric Algebra with Applications (IWMM 2004, GIAE 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3519))

Abstract

We state three combinatorial lemmas on Young tableaux, and show their role in the proof of the triangularity theorem about the action of Young-Capelli symmetrizers on symmetrized bitableaux. As an application, we describe in detail the way to specialize general results to the representation theory of the symmetric group and to classical invariant theory.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, University of Bologna, Piazza di Porta San Donato 5, 40126, Italy

    Andrea Brini, Francesco Regonati & Antonio Teolis

Authors
  1. Andrea Brini
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  2. Francesco Regonati
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  3. Antonio Teolis
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Editor information

Editors and Affiliations

  1. Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, CAS, P.O. Box, 100080, Beijing, P.R. China

    Hongbo Li

  2. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, U.S.A.

    Peter J. Olver

  3. Institute of Computer Science, Christian-Albrecht-University, 24098, Kiel, Germany

    Gerald Sommer

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© 2005 Springer-Verlag Berlin Heidelberg

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Brini, A., Regonati, F., Teolis, A. (2005). Combinatorics and Representation Theory of Lie Superalgebras over Letterplace Superalgebras. In: Li, H., Olver, P.J., Sommer, G. (eds) Computer Algebra and Geometric Algebra with Applications. IWMM GIAE 2004 2004. Lecture Notes in Computer Science, vol 3519. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11499251_20

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  • DOI: https://doi.org/10.1007/11499251_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26296-1

  • Online ISBN: 978-3-540-32119-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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