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Polynomes de Vogan pour SL(n, ℂ)

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Non-Commutative Harmonic Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 728))

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Abstract

In [13] Vogan associates to an irreducible Harish-Chandra module for a real semi-simple Lie group a polynomial on a Cartan subalgebra. I prove that, in the case of the group SL(n,ℂ), some conjectures made by Vogan on these polynomials are true. The proof uses some of the Joseph's ideas in [6].

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Bibliographie

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© 1979 Springer-Verlag Berlin Heidelberg

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Duflo, M. (1979). Polynomes de Vogan pour SL(n, ℂ). In: Carmona, J., Vergne, M. (eds) Non-Commutative Harmonic Analysis. Lecture Notes in Mathematics, vol 728. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063338

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  • DOI: https://doi.org/10.1007/BFb0063338

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09516-3

  • Online ISBN: 978-3-540-35131-3

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