The Subregular Germ of Orbital Integrals

Released on by Thomas Callister Hales
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  • The Subregular Germ of Orbital Integrals Book Detail

  • Author : Thomas Callister Hales
  • Release Date : 1992
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 161
  • ISBN 13 : 0821825399
  • File Size : 24,24 MB
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The Subregular Germ of Orbital Integrals by Thomas Callister Hales PDF Summary

Book Description: An integral formula for the subregular germ of a [italic small capital]K-orbital integral is developed. The formula holds for any reductive group over a [italic]p-adic field of characteristic zero. This expression of the subregular germ is obtained by applying Igusa's theory of asymptotic expansions. The integral formula is applied to the question of the transfer of a [italic small capital]K-orbital integral to an endoscopic group. It is shown that the quadratic characters arising in the subregular germs are compatible with the transfer. Details of the transfer are given for the subregular germ of unitary groups.

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