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Author: Anatoliĭ Ivanovich Malʹt͡sev
Publisher:
ISBN:
Category : Topology
Languages : en
Pages : 40
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Book Description
Author: Anatoliĭ Ivanovich Malʹt͡sev
Publisher:
ISBN:
Category : Topology
Languages : en
Pages : 40
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Book Description
Author: A. I. Malʹt︠s︡ev
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages : 33
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Book Description
Author: D.A. Timashev
Publisher: Springer
ISBN: 9783642183980
Category : Mathematics
Languages : en
Pages : 254
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Book Description
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.
Author: Kichoon Yang
Publisher: World Scientific
ISBN: 9789971503772
Category : Mathematics
Languages : en
Pages : 128
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Book Description
This book is an introduction to the theory of almost complex homogeneous spaces and certain closely related class of spaces, so called partial G-flag manifolds. Submanifolds, in particular holomorphic curves, are also treated using the theory of moving frames and the structure theory of compact lie groups. The exposition is reasonably self-contained and this book is strongly recommended as a text for beginning graduate students.
Author: Alfred William Adler
Publisher:
ISBN:
Category : Topology
Languages : en
Pages : 68
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Author: Andreas Arvanitoyeorgos
Publisher: MDPI
ISBN: 3039280007
Category : Mathematics
Languages : en
Pages : 128
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Book Description
The present Special Issue of Symmetry is devoted to two important areas of global Riemannian geometry, namely submanifold theory and the geometry of Lie groups and homogeneous spaces. Submanifold theory originated from the classical geometry of curves and surfaces. Homogeneous spaces are manifolds that admit a transitive Lie group action, historically related to F. Klein's Erlangen Program and S. Lie's idea to use continuous symmetries in studying differential equations. In this Special Issue, we provide a collection of papers that not only reflect some of the latest advancements in both areas, but also highlight relations between them and the use of common techniques. Applications to other areas of mathematics are also considered.
Author: Alexandre Augusto Rodrigues
Publisher:
ISBN:
Category : Topology
Languages : en
Pages : 76
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Book Description
Author: Louis Auslander
Publisher: Princeton University Press
ISBN: 9780691079639
Category : Mathematics
Languages : en
Pages : 124
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Book Description
The description for this book, Flows on Homogeneous Spaces. (AM-53), Volume 53, will be forthcoming.
Author: Armand Borel (Mathématicien)
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Armand Borel
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
