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L2 index and unitary representations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1020)

Keywords

  • Dirac Operator
  • Discrete Series
  • Virtual Character
  • Real Rank
  • Principal Series Representation

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Bibliography

  1. M. F. Atiyah, "Elliptic operators, discrete groups and von Neuman algebras", Astérisque 32/33, (1976), 43–72.

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  2. M. F. Atiyah, W. Schmid, "A geometric construction of the discrete series", Inv. Math., 42(1977), 1–62.

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  3. M. W. Baldoni Silva, D. Barbasch, "The unitary dual for real rank one semisimple Lie groups". Preprint.

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  4. M. W. Baldoni Silva, H. Kraejević, "Composition factors of the principal series representations of the group Sp(n,1)", TAMS, 262, (1980), 447–471.

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  5. H. Moscovici, "L2 index of elliptic operators on locally symmetric spaces of finite volume". Preprint.

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  6. R. Parthasarathy, "Dirac operators and the discrete series", Ann. of Math., 96, (1972), 1–30.

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  8. D. Vogan, "Representations of real reductive Lie groups", Progress in Mathematics, Birkhauser, 1981.

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© 1983 Springer-Verlag

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Baldoni Silva, M.W. (1983). L2 index and unitary representations. In: Carmona, J., Vergne, M. (eds) Non Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 1020. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071494

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  • DOI: https://doi.org/10.1007/BFb0071494

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12717-8

  • Online ISBN: 978-3-540-38700-8

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