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manuscripta mathematica

, Volume 102, Issue 2, pp 263–268 | Cite as

Comparison of germ expansion¶on inner forms of GL(n)

  • Dipendra Prasad
  • 29 Downloads

Abstract:

We prove that the germ expansion of a discrete series representation π on GL n (D) where D is a division algebra over k of index m and the germ expansion of the representation π of GL mn (k) associated to π by the Deligne–Kazhdan–Vigneras correspondence are closely related, and therefore certain coefficients in the germ expansion of a discrete series representation of GL mn (k) can be interpreted (and therefore sometimes calculated) in terms of the dimension of a certain space of (degenerate) Whittaker models on GL n (D).

Mathematics Subject Classification (1991):22E50, 22E35 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Dipendra Prasad
    • 1
  1. 1.Mehta Research Institute, Chhatnag Road, Jhusi, Allahabad 211019, India.¶e-mail: dprasad@mri.ernet.inIN

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