Conjectures on reductive homogeneous spaces
Abstract
We address some conjectures and open problems in "analysis of symmetries" which include the study of non-commutative harmonic analysis and discontinuous groups for reductive homogeneous spaces beyond the classical framework: (1) discrete series for non-symmetric homogeneous spaces G/H; (2) discontinuous group for G/H beyond the Riemannian setting; (3) analysis on pseudo-Riemannian locally homogeneous spaces.
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