ON EXTENDED WEIGHT MONOIDS OF SPHERICAL HOMOGENEOUS SPACES
نویسندگان
چکیده
Given a connected reductive complex algebraic group $G$ and spherical subgroup $H \subset G$, the extended weight monoid $\widehat \Lambda^+_G(G/H)$ encodes $G$-module structures on spaces of global sections all $G$-linearized line bundles $G/H$. Assuming that is semisimple simply $H$ specified by regular embedding in parabolic $P this paper we obtain description via set simple roots $G/H$ together with certain combinatorial data explicitly computed from pair $(P,H)$. As an application, deduce new proof result Avdeev Gorfinkel describing case where strongly solvable.
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Acknowledgements: During the research that led to the this paper, the first author was initially supported by the European Regional Development Fund through the programme and by the PortugueseGovernment through the (Fundação para a Ciência e a Tecnologia) under the project -/// and through an Ciência fellowship, and later supported by an Investigador a...
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2021
ISSN: ['1531-586X', '1083-4362']
DOI: https://doi.org/10.1007/s00031-021-09642-3