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Original Articles

Mathews' Identity for Prehomogeneous Vector Spaces of Heisenberg Parabolic Type

Pages 4655-4668 | Received 16 Sep 2008, Published online: 20 Jan 2011

REFERENCES

  • Barchini , L. , Kable , A. C. , Zierau , R. ( 2008 ). Conformally invariant systems of differential equations and prehomogeneous vector spaces of Heisenberg parabolic type . Publ. RIMS, Kyoto Univ. 44 : 749 – 835 .
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  • Ehrenpreis , L. ( 1988 ). Hypergeometric functions . In: Kashiwara , M. , Kawai , T. eds. Algebraic Analysis: Papers Dedicated to Professor Mikio Sato on the Occasion of His Sixtieth Birthday . Vol. 1 , Boston , MA : Academic Press , pp. 85 – 128 ..
  • Jacobson , N. ( 1972 ). Lie Algebras . New York : Dover Publications .
  • Mathews , G. B. ( 1911 ). Relations between arithmetical binary cubic forms and their Hessians . Proc. London Math. Soc. 9 ( 2 ): 200 – 204 .
  • Olver , P. J. ( 1999 ). Classical Invariant Theory . London Math. Soc. Student Texts . Vol. 44 . Cambridge : Cambridge UP .
  • Communicated by D. Nakamo. It is a pleasure to thank the NSA, which partially supported this work through grant H98230-07-01-0020.

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