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Real Orbits of Complex Spherical Homogeneous Spaces: the Split Caseстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Cupit-Foutou Stephanie, Timashev Dmitry
- Журнал: International Mathematics Research Notices
- Год издания: 2022
- Издательство: Oxford University Press
- Местоположение издательства: United Kingdom
- DOI: 10.1093/imrn/rnac285
- Аннотация: We introduce some reflection operators on the set of real Borel orbits of the real locus X(R) of any spherical complex variety X defined over the field of real numbers R and homogeneous under a split connected reductive group G defined also over R. We thus investigate the existence problem for an action of the Weyl group of G on the set of real Borel orbits of X(R). In particular, we determine the varieties X for which the above-mentioned reflectionoperators define an action of the very little Weyl group of X on the set of open real Borel orbits of X(R). This enables us to give a parametrization of the G(R)-orbits for such X(R) in terms of the orbits of this new action.
- Добавил в систему: Тимашёв Дмитрий Андреевич