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Mackey Theory for p-adic Lie Groups

Mackey Theory for p-adic Lie Groups
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摘要 This paper gives a p-adic analogue of the Mackey theory, which relates representations of a group of type G - H × t A to systems of imprimitivity. This paper gives a p-adic analogue of the Mackey theory, which relates representations of a group of type G - H × t A to systems of imprimitivity.
机构地区 LMAM
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第2期507-514,共8页 数学学报(英文版)
关键词 Cosmooth projection valued measure System of imprimitivity Cosmooth system of imprimitivity Smooth representation Cosmooth projection valued measure, System of imprimitivity, Cosmooth system of imprimitivity, Smooth representation
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参考文献7

  • 1Bump, D.: Automorphic Forms and Representations, Cambridge University Press, Cambridge, 1998
  • 2Varadarajan, V. S.: Geometry of Quantum Theory, Springer-Verlag, New York, 1985.
  • 3Bernstein, I. N., Zelevinsky, A. V.: Induced representations of reductive p-adic groups Ⅰ. Ann, Sci. EcoleNorm., Sup 4^e Serie, 10, 441-472 (1977).
  • 4Bernstein, I. N., Zelevinsky, A. V.: Representations of the group GL(n,F). where F is a local Non-Archimedean Field. Russian Mathematical Surveys, 3, 1-68 (1976).
  • 5Jacquet, H.: Generic representation, In Non-Nommutative Harmonic Analysis. Lecture Notes in Mathematics, 587, 91-102 (1976).
  • 6Mackey, G. W.: Unitary Group representations in Physics, Probability, and Number Theory, Addison-Wesley Publishing Company, Inc., Redwood city, California, 1978, 1989.
  • 7Weil, A.: Sur la formule de Siegel dans la theorie des groupes classiques. Acta Math., 113, 1-87 (1965).

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