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A prehomogeneous vector space of characteristic 3

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Group Theory, Beijing 1984

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1185))

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References

  1. Chen, Z.: On prehomogeneous vector spaces over an algebraically closed field of characteristic p (Chinese), J. of East China Normal Univ., Natural Sci. Edition 2(1983), 11–17.

    Google Scholar 

  2. Chen, Z.: A classification of irreducible prehomogeneous vector spaces over an algebraically closed field of characteristic p (I) (Chinese), Chin. Ann. of Math. 6A(1985), 39–48.

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  3. Chen,Z.: A classification of irreducible prehomogeneous vector spaces over an algebraically closed field of characteristic p (II) (Chinese), to appear.

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  4. Chen,Z.: A classification of irreducible prehomogeneous vector spaces over an algebraically closed field of characteristic 2 (I) (Chinese), to appear.

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  5. Chen,Z.: On the prehomogeneous vector space (GL(1)×SL(3),□⊗(∧1+∧2), V(1)⊗V(7))(p=3) (Chinese), to appear.

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  6. Cline, E., Parshall, B., Scott, L.: Induced modules and affine quotients, Math. Ann. 230(1977), 1–14.

    Article  MathSciNet  MATH  Google Scholar 

  7. Humphreys,J.E.: Linear Algebraic Groups, Graduate Texts in Math. 21, Springer-Verlag, 1981.

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  8. Humphreys,J.E.: Ordinary and Modular Representations of Chevalley Groups, Springer LN 528(1976).

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

    Article  MathSciNet  MATH  Google Scholar 

  10. Servedio, F.J.: Affine open orbits, reductive isotropy groups and dominant gradient morphisms; a theorem of Mikio Sato, Pacific J. of Math. 72(1977), 537–545.

    Article  MathSciNet  MATH  Google Scholar 

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Hsio-Fu Tuan

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© 1986 Springer-Verlag

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Chen, Z. (1986). A prehomogeneous vector space of characteristic 3. In: Tuan, HF. (eds) Group Theory, Beijing 1984. Lecture Notes in Mathematics, vol 1185. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076178

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  • DOI: https://doi.org/10.1007/BFb0076178

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16456-2

  • Online ISBN: 978-3-540-39793-9

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