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Unitary representations of real reductive groups/ Jeffrey D Adams & et al.

By: Contributor(s): Material type: TextTextSeries: Asterisque ; 417Publication details: Paris: Societe Mathematique De France, 2020Description: x, 176 pages 24 cmISBN:
  • 9782856299180
Subject(s): DDC classification:
  • 23 512.22 As 853
Contents:
Index of notation -- First introduction -- Nonunitary representations -- Real reductive groups -- Maximal tori -- Coverings of tori -- Langlands classification and the nonunitary dual -- Second introduction: the shape of the unitary dual -- Hermitian forms on (h,L(C)) modules -- Interlude: realizing standard modules -- Invariant forms on irreducible representations -- Standard and c-invariant forms in the equal rank case -- Twisting by the Cartan involution -- Langlands parameters for extended groups -- Jantzen filtrations and Hermitian forms -- Signature characters for c-invariant forms -- Translation functiors: firsat facts -- Translation functors for extended groups -- Kazhdan-Lusztig polynomials for characters -- Kazhdan-Lusztig polynomials for c-invariant forms -- Deformation to v=0 -- Example: Hermitian forms for SL(2,C) -- Bibliography
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Includes bibliographical references

Index of notation -- First introduction -- Nonunitary representations -- Real reductive groups -- Maximal tori -- Coverings of tori -- Langlands classification and the nonunitary dual -- Second introduction: the shape of the unitary dual -- Hermitian forms on (h,L(C)) modules -- Interlude: realizing standard modules -- Invariant forms on irreducible representations -- Standard and c-invariant forms in the equal rank case -- Twisting by the Cartan involution -- Langlands parameters for extended groups -- Jantzen filtrations and Hermitian forms -- Signature characters for c-invariant forms -- Translation functiors: firsat facts -- Translation functors for extended groups -- Kazhdan-Lusztig polynomials for characters -- Kazhdan-Lusztig polynomials for c-invariant forms -- Deformation to v=0 -- Example: Hermitian forms for SL(2,C) -- Bibliography

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