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Korean Mathematical Society (대한수학회)
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TRACE FORMULAS ON FINITE GROUPS

  • Published : 2006.01.01
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Abstract

In this paper, we study the right regular representation $R_\Gamma$ of a finite group G on the vector space consisting of vector valued functions on ${\Gamma}/G$ with a subgroup r of G and give a trace formula using the work of M. -F. Vigneras.

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References

  1. J. Arthur, The trace formula and Hecke operators: Number theory, trace for- mulas and discrete groups (Oslo, 1987), Academic Press (1989), 11-27
  2. J. Arthur, Towards a local trace formula: algebraic analysis, geometry and number theory (Baltimore, MD, 1988), Johns Hopkins Univ. Press, Baltimore, MD (1989), 1-23
  3. J. Arthur, Some problems in local harmonic analysis : harmonic Analysis on reductive groups (Brunswick, ME, 1989), Prog. Math. Birkhauser, Boston vol 101 (1991), 57-78
  4. J. Arthur, A local trace formula, IHES Publication Math. 73 (1991), 5-96 https://doi.org/10.1007/BF02699256
  5. R. Goodman and N. Wallach, Representations and Invariants of the Classical Groups, Cambridge University Press, 1998
  6. S. Gelbart, Lectures on Arthur-Selberg Trace Formula, American Math. Soc., Providence, 1996
  7. A. W. Knapp, Theoretical Aspect of the Trace Formula for GL(2), Proc. Symos- ia in Pure Math., American Math. Soc. 61 (1997), 355-405
  8. A. W. Knapp and J. D. Rogawski, Applications of the Trace Formula, Proc. Symosia in Pure Math., American Math. Soc. 61 (1997), 413-431
  9. J. -P. Serre, Linear representations of finite groups, Springer-Verlag, 1977
  10. M. -F. Vigneras, An elementary introduction to the local trace formula of J. Arthur. The case of finite groups, Jber. d. Dt. Math.-Verein., Jubilaumstagung 1990, B.G. Teubner Stuttgart (1992), 281-296