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The Resource Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev

Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev

Label
Homogeneous spaces and equivariant embeddings
Title
Homogeneous spaces and equivariant embeddings
Statement of responsibility
Dmitry A. Timashev
Creator
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Timashev, Dmitry A
Dewey number
514/.325
Index
index present
LC call number
QA387
LC item number
.T56 2011
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Encyclopaedia of mathematical sciences
Series volume
v. 138
http://library.link/vocab/subjectName
  • Homogeneous spaces
  • Embeddings (Mathematics)
  • MATHEMATICS
  • Embeddings (Mathematics)
  • Homogeneous spaces
  • Algebraische Gruppe
  • Einbettung
  • Homogener Raum
Label
Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev
Instantiates
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction.-1 Algebraic Homogeneous Spaces -- 2 Complexity and Rank -- 3 General Theory of Embeddings -- 4 Invariant Valuations -- 5 Spherical Varieties -- Appendices -- Bibliography -- Indices
Control code
728100147
Dimensions
unknown
Extent
1 online resource (xxi, 253 pages).
Form of item
online
Isbn
9783642183997
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-18399-7.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-642-18398-0
Specific material designation
remote
System control number
(OCoLC)728100147
Label
Homogeneous spaces and equivariant embeddings, Dmitry A. Timashev
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction.-1 Algebraic Homogeneous Spaces -- 2 Complexity and Rank -- 3 General Theory of Embeddings -- 4 Invariant Valuations -- 5 Spherical Varieties -- Appendices -- Bibliography -- Indices
Control code
728100147
Dimensions
unknown
Extent
1 online resource (xxi, 253 pages).
Form of item
online
Isbn
9783642183997
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-18399-7.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-642-18398-0
Specific material designation
remote
System control number
(OCoLC)728100147

Library Locations

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      38.944491 -92.326012
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