Unitary representations of real reductive groups - Adams, Jeffrey D & et al.; Adans, Jeffrey D. (Paris: Societe Mathematique De France, 2020)
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
Includes bibliographical references
Keywords: Uniteary Representation; Kazhdan-Lusztig Polynomial; Hermitian Form