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arXiv · 2204.08854

Conjectures on reductive homogeneous spaces

Toshiyuki Kobayashi
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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 $\Gamma$ for $G/H$ beyond the Riemannian setting; (3) analysis on pseudo-Riemannian locally homogeneous spaces.

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Toshiyuki Kobayashi. 2022-04-19. Conjectures on reductive homogeneous spaces. https://doi.org/10.1007/978-3-031-12244-6_17

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