Cartan projections of some non-reductive subgroups and proper actions on homogeneous spaces

Autor:	Morita, Yosuke
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry Mathematics - Group Theory Mathematics - Geometric Topology Mathematics - Representation Theory Primary 57S30 Secondary 22E40 53C30 53C35
Druh dokumentu:	Working Paper
DOI:	10.1007/s00031-022-09736-6
Popis:	Kobayashi [Duke Math. J. (1992)] gave a necessary condition for the existence of compact Clifford-Klein forms in terms of Cartan projections and non-compact dimensions of reductive subgroups. We extend his method to non-reductive subgroups, and give some examples of homogeneous spaces of reductive type that do not admit compact Clifford-Klein forms by comparing Cartan projections and non-compact dimensions of reductive subgroups with those of non-reductive subgroups. Comment: 22 pages, presentation improved, Sections 6 and 7 merged into a single section, to appear in Transform. Groups
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.07848 Zobrazit plný text záznamu View this record from Arxiv