Homogeneous Spaces and Equivariant Embeddings
Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homog...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2011. |
| Collection: | Encyclopaedia of Mathematical Sciences
138 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Description d'après consultation du 26 février 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev, 2011, Berlin, Springer, 1 vol. (XXI-253 p.), Encyclopaedia of Mathematical Sciences, 978-3-642-18398-0 • Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev, 2011, Berlin, Springer, 1 vol. (XXI-253 p.), Encyclopaedia of Mathematical Sciences, 978-3-642-18398-0 • Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev, 2011, Berlin, Springer, 1 vol. (XXI-253 p.), Encyclopaedia of Mathematical Sciences, 978-3-642-18398-0 • Homogeneous Spaces and Equivariant Embeddings, Texte imprimé, 9783642184000 • Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev, 2011, Berlin, Springer, 1 vol. (XXI-253 p.), Encyclopaedia of Mathematical Sciences, 978-3-642-18398-0 • Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev, 2011, Berlin, Springer, 1 vol. (XXI-253 p.), Encyclopaedia of Mathematical Sciences, 978-3-642-18398-0 • Homogeneous Spaces and Equivariant Embeddings, Texte imprimé, 9783642184000 |
| Résumé: | Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally, open embeddings of a given homogeneous space. Such equivariant embeddings are the subject of this book. We focus on the classification of equivariant embeddings in terms of certain data of "combinatorial" nature (the Luna-Vust theory) and description of various geometric and representation-theoretic properties of these varieties based on these data. The class of spherical varieties, intensively studied during the last three decades, is of special interest in the scope of this book. Spherical varieties include many classical examples, such as Grassmannians, flag varieties, and varieties of quadrics, as well as well-known toric varieties. We have attempted to cover most of the important issues, including the recent substantial progress obtained in and around the theory of spherical varieties |
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| Description: | Description d'après consultation du 26 février 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliographie: | Bibliogr. Index |
| ISBN: | 9783642183997 |
| Accès: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |