Homogeneous Spaces And Equivariant Embeddings


Homogeneous Spaces And Equivariant Embeddings
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Homogeneous Spaces And Equivariant Embeddings


Homogeneous Spaces And Equivariant Embeddings
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Author : D.A. Timashev
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-06

Homogeneous Spaces And Equivariant Embeddings written by D.A. Timashev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-06 with Mathematics categories.


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.



Equivariant Embeddings In Euclidean Space


Equivariant Embeddings In Euclidean Space
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Author : G. D. Mostow
language : en
Publisher:
Release Date : 1957

Equivariant Embeddings In Euclidean Space written by G. D. Mostow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Mathematics categories.




Equivariant Quantum Cohomology Of Homogeneous Spaces


Equivariant Quantum Cohomology Of Homogeneous Spaces
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Author : Constantin Leonardo Mihalcea
language : en
Publisher:
Release Date : 2005

Equivariant Quantum Cohomology Of Homogeneous Spaces written by Constantin Leonardo Mihalcea and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.




Analysis On Lie Groups And Homogeneous Spaces


Analysis On Lie Groups And Homogeneous Spaces
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Author : Sigurdur Helgason
language : en
Publisher: American Mathematical Soc.
Release Date : 1972-12-31

Analysis On Lie Groups And Homogeneous Spaces written by Sigurdur Helgason and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-12-31 with Mathematics categories.


Gives a treatment of differential equations on a $C DEGREES\infty$ manifold $V$ by separation of variables tech



Almost Complex Homogeneous Spaces And Their Submanifolds


Almost Complex Homogeneous Spaces And Their Submanifolds
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Author : Yang Kichoon
language : en
Publisher: World Scientific
Release Date : 1987-12-01

Almost Complex Homogeneous Spaces And Their Submanifolds written by Yang Kichoon and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-12-01 with Mathematics categories.


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.



Submanifolds And Holonomy


Submanifolds And Holonomy
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Author : Jurgen Berndt
language : en
Publisher: CRC Press
Release Date : 2016-02-22

Submanifolds And Holonomy written by Jurgen Berndt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-22 with Mathematics categories.


Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.New to the Second EditionNew chapter on normal holonom



Nonparametric Statistics On Manifolds And Their Applications To Object Data Analysis


Nonparametric Statistics On Manifolds And Their Applications To Object Data Analysis
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Author : Victor Patrangenaru
language : en
Publisher: CRC Press
Release Date : 2015-09-18

Nonparametric Statistics On Manifolds And Their Applications To Object Data Analysis written by Victor Patrangenaru and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-18 with Mathematics categories.


A New Way of Analyzing Object Data from a Nonparametric ViewpointNonparametric Statistics on Manifolds and Their Applications to Object Data Analysis provides one of the first thorough treatments of the theory and methodology for analyzing data on manifolds. It also presents in-depth applications to practical problems arising in a variety of fields



Surveys In Geometry And Number Theory


Surveys In Geometry And Number Theory
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Author : Nicholas Young
language : en
Publisher: Cambridge University Press
Release Date : 2007-01-18

Surveys In Geometry And Number Theory written by Nicholas Young and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-18 with Mathematics categories.


A collection of survey articles by leading young researchers, showcasing the vitality of Russian mathematics.



Algebraic Monoids Group Embeddings And Algebraic Combinatorics


Algebraic Monoids Group Embeddings And Algebraic Combinatorics
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Author : Mahir Can
language : en
Publisher: Springer
Release Date : 2014-06-11

Algebraic Monoids Group Embeddings And Algebraic Combinatorics written by Mahir Can and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-11 with Mathematics categories.


This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids. Topics presented include: structure and representation theory of reductive algebraic monoids monoid schemes and applications of monoids monoids related to Lie theory equivariant embeddings of algebraic groups constructions and properties of monoids from algebraic combinatorics endomorphism monoids induced from vector bundles Hodge–Newton decompositions of reductive monoids A portion of these articles are designed to serve as a self-contained introduction to these topics, while the remaining contributions are research articles containing previously unpublished results, which are sure to become very influential for future work. Among these, for example, the important recent work of Michel Brion and Lex Renner showing that the algebraic semi groups are strongly π-regular. Graduate students as well as researchers working in the fields of algebraic (semi)group theory, algebraic combinatorics and the theory of algebraic group embeddings will benefit from this unique and broad compilation of some fundamental results in (semi)group theory, algebraic group embeddings and algebraic combinatorics merged under the umbrella of algebraic monoids.



Homogeneous Spaces Tits Buildings And Isoparametric Hypersurfaces


Homogeneous Spaces Tits Buildings And Isoparametric Hypersurfaces
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Author : Linus Kramer
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Homogeneous Spaces Tits Buildings And Isoparametric Hypersurfaces written by Linus Kramer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.


This title classifys 1-connected compact homogeneous spaces which have the same rational cohomology as a product of spheres $\mahtbb{S} DEGREES{n_1}\times\mathbb{S} DEGREES{n_2}$, with $3\leq n_1\leq n_2$ and $n_2$ odd. As an application, it classifys compact generalized quadrangles (buildings of type $C_2)$ which admit a point transitive automorphism group, and isoparametric hypersurfaces which admit a transitive isometry group on one f