Conjectures on reductive homogeneous spaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909063539851264 |
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| author | Kobayashi, Toshiyuki |
| author_facet | Kobayashi, Toshiyuki |
| contents | 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 $Γ$ for $G/H$ beyond the Riemannian setting;
(3) analysis on pseudo-Riemannian locally homogeneous spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_08854 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Conjectures on reductive homogeneous spaces Kobayashi, Toshiyuki Representation Theory Differential Geometry Primary 22E40, 22E46, 58J50, Secondary 11F72, 43C35 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 $Γ$ for $G/H$ beyond the Riemannian setting; (3) analysis on pseudo-Riemannian locally homogeneous spaces. |
| title | Conjectures on reductive homogeneous spaces |
| topic | Representation Theory Differential Geometry Primary 22E40, 22E46, 58J50, Secondary 11F72, 43C35 |
| url | https://arxiv.org/abs/2204.08854 |