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On the construction of some relative invariants for CL(n) (n=6,7,8) by the decomposition of the Young diagrams

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Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 867))

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References

  1. M. Sato and T. Kimura, "A classification of irreducible prehomogeneous vector spaces and their relative invariants" Nagoya Math. J. Vol. 65, (1977), 1–155.

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  2. H. Weyl, Classical Groups, Princeton University Press, 1964.

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  3. T. Kimura, "The b-functions and holonomy diagrams of irreducible regular prehomogeneous vector spaces", to appear.

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  4. I. Ozeki, "On the Microlocal Structure of a Regular Prehomogeneous Vector Space Associated with GL(8)", to appear.

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  5. M. Muro, "Some prehomogeneous vector spaces with relative invariants of degree four and the formula of the Fourier transforms, Preprint.

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  6. M. Muro, "On the prehomogeneous vector spaces (GL(7), Λ3) and (Spin(14) × GL(1), (half-spin rep.) × Λ1) and the formulas of the Fourier transforms of the relative invariants", Preprint at RIMS-291, Kyoto University, June 1979.

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  7. G. B. Gurevich, Foundation of the Theory of Algebraic Invariants, P. Noordhoff-LTD, Groningen, 1964.

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  8. T. Kimura, On the relative invariant for GL(7) on the skew-tensors of rank three, Preprint.

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Author notes

  1. Tatsuo Kimura

    Present address: Tsukuba University, Japan

Authors and Affiliations

  1. Nagoya University, Japan

    Tatsuo Kimura

  2. Grenoble University, France

    Tatsuo Kimura

Authors
  1. Tatsuo Kimura
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Marie-Paule Malliavin

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© 1981 Springer-Verlag

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Kimura, T. (1981). On the construction of some relative invariants for CL(n) (n=6,7,8) by the decomposition of the Young diagrams. In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 867. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090379

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  • DOI: https://doi.org/10.1007/BFb0090379

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10841-2

  • Online ISBN: 978-3-540-38737-4

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