Mathematical Notes

, Volume 57, Issue 3, pp 300–306 | Cite as

Spherical functions on a finite affine space with a series of Zelevinsky subgroups

  • E. E. Petrov
Article
  • 26 Downloads

Keywords

Spherical Function Affine Space Finite Affine 

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References

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    A. V. Zelevinsky, “Representations of finite classical groups. A Hopf algebra approach,” Lect. Notes Math.,869, Springer, Berlin (1981).Google Scholar
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    A. A. Kirillov, “Introduction to the theory of representations and noncommutative harmonic analysis,” Sovremmennye Problemy Matematiki, Fundamentalnye Napravleniya,22, VINITI, Moscow (1988), pp. 5–162.Google Scholar
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    I. M. Gel'fand, R. A. Minlos, and Z. Ya. Shapiro, Representations of Groups of Rotation and Lorentz Groups [in Russian], Fizmatgiz, Moscow (1950).Google Scholar
  4. 4.
    E. E. Petrov, “Spherical functions on finite centroaffine spaces,” Rept. No. 2303-B87, Dep. in VINITI April 10, 1987.Google Scholar
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    J.-P. Serre, Linear Representations of Finite Groups [Russian translation], Mir, Moscow (1970).Google Scholar
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    A. Barret and R. Ronchka, The Theory of Group Representations and Its Applications [Russian translation], Mir, Moscow (1980).Google Scholar
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    E. E. Petrov, “Harmonics on finite projective spaces,” Mat. Zametki,43, No. 1, 31–37 (1988).MATHMathSciNetGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • E. E. Petrov
    • 1
  1. 1.Kolomen Pedagogical InstituteUSSR

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