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- W4386557613 abstract "Kac-Moody symmetric spaces have been introduced by Freyn, Hartnick, Horn and the first-named author for centered Kac-Moody groups, that is, Kac-Moody groups that are generated by their root subgroups. In the case of non-invertible generalized Cartan matrices this leads to complications that -- within the approach proposed originally -- cannot be repaired in the affine case. In the present article we propose an alternative approach to Kac-Moody symmetric spaces which for invertible generalized Cartan matrices provides exactly the same concept, which for the non-affine non-invertible case provides alternative Kac-Moody symmetric spaces, and which finally provides Kac-Moody symmetric spaces for affine Kac-Moody groups. In a nutshell, the original intention by Freyn, Hartnick, Horn and Kohl was to construct symmetric spaces that likely lead to primitive actions of the Kac-Moody groups; this, of course, cannot work in the affine case as affine Kac-Moody groups are far from simple." @default.
- W4386557613 created "2023-09-09" @default.
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- W4386557613 date "2023-09-05" @default.
- W4386557613 modified "2023-10-16" @default.
- W4386557613 title "Kac-Moody Symmetric Spaces: An Addendum" @default.
- W4386557613 doi "https://doi.org/10.48550/arxiv.2309.02176" @default.
- W4386557613 hasPublicationYear "2023" @default.
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