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Unipotent representations and unitarity

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Non-Commutative Harmonic Analysis and Lie Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1243))

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References

  1. J. Arthur, On some problems suggested by the trace formula, Lecture Notes in Math 1041, Springer Verlag 1984.

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  2. D. Barbasch, A reduction theorem for the unitary spectrum of U(p,q), preprint Rutgers University 1984.

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  3. D. Barbasch, D. Vogan, Unipotent representations of complex semisimple Lie groups, Ann. of Math., 121, (1985) 41–110.

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  4. M. Duflo, Représentations irréductibles des groupes semisimples complexes, LNM 497 (1975) 26–88.

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  5. Représentations unitaires irréductibles des groupes simples complexes de rang deux, Bull. Soc. Math., France 107 (1979) 55–96.

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  6. G. Lusztig, Characters of a reductive group over a finite field, Princeton Univ. Press, Princeton NJ 1984.

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  7. D. Vogan, Representations of real reductive groups, Birkhäuser Boston 1981.

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  8. _____, Unitarizability of certain series of representations, Ann. of Math., 120 (1984) 141–187.

    Article  MathSciNet  MATH  Google Scholar 

  9. _____, The unitary dual of GL(n) over an archimedean field, preprint.

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Jacques Carmona Patrick Delorme Michèle Vergne M.I.T.

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© 1987 Springer-Verlag

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Barbasch, D. (1987). Unipotent representations and unitarity. In: Carmona, J., Delorme, P., Vergne, M., M.I.T. (eds) Non-Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 1243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073018

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  • DOI: https://doi.org/10.1007/BFb0073018

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  • Print ISBN: 978-3-540-17701-2

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