Algebraic Homogeneous Spaces and Invariant Theory [electronic resource] /
The invariant theory of non-reductive groups has its roots in the 19th century but has seen some very interesting developments in the past twenty years. This book is an exposition of several related topics including observable subgroups, induced modules, maximal unipotent subgroups of reductive groups and the method of U-invariants, and the complexity of an action. Much of this material has not appeared previously in book form. The exposition assumes a basic knowledge of algebraic groups and then develops each topic systematically with applications to invariant theory. Exercises are included as well as many examples, some of which are related to geometry and physics.
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Format: | Texto biblioteca |
Language: | eng |
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Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1997
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Subjects: | Mathematics., Algebraic geometry., Group theory., Matrix theory., Algebra., Group Theory and Generalizations., Algebraic Geometry., Linear and Multilinear Algebras, Matrix Theory., |
Online Access: | http://dx.doi.org/10.1007/BFb0093525 |
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KOHA-OAI-TEST:2074482018-07-30T23:37:42ZAlgebraic Homogeneous Spaces and Invariant Theory [electronic resource] / Grosshans, Frank D. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1997.engThe invariant theory of non-reductive groups has its roots in the 19th century but has seen some very interesting developments in the past twenty years. This book is an exposition of several related topics including observable subgroups, induced modules, maximal unipotent subgroups of reductive groups and the method of U-invariants, and the complexity of an action. Much of this material has not appeared previously in book form. The exposition assumes a basic knowledge of algebraic groups and then develops each topic systematically with applications to invariant theory. Exercises are included as well as many examples, some of which are related to geometry and physics.Observable subgroups -- The transfer principle -- Invariants of maximal unipotent subgroups -- Complexity -- Errata.The invariant theory of non-reductive groups has its roots in the 19th century but has seen some very interesting developments in the past twenty years. This book is an exposition of several related topics including observable subgroups, induced modules, maximal unipotent subgroups of reductive groups and the method of U-invariants, and the complexity of an action. Much of this material has not appeared previously in book form. The exposition assumes a basic knowledge of algebraic groups and then develops each topic systematically with applications to invariant theory. Exercises are included as well as many examples, some of which are related to geometry and physics.Mathematics.Algebraic geometry.Group theory.Matrix theory.Algebra.Mathematics.Group Theory and Generalizations.Algebraic Geometry.Linear and Multilinear Algebras, Matrix Theory.Springer eBookshttp://dx.doi.org/10.1007/BFb0093525URN:ISBN:9783540696179 |
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Mathematics. Algebraic geometry. Group theory. Matrix theory. Algebra. Mathematics. Group Theory and Generalizations. Algebraic Geometry. Linear and Multilinear Algebras, Matrix Theory. Mathematics. Algebraic geometry. Group theory. Matrix theory. Algebra. Mathematics. Group Theory and Generalizations. Algebraic Geometry. Linear and Multilinear Algebras, Matrix Theory. |
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Mathematics. Algebraic geometry. Group theory. Matrix theory. Algebra. Mathematics. Group Theory and Generalizations. Algebraic Geometry. Linear and Multilinear Algebras, Matrix Theory. Mathematics. Algebraic geometry. Group theory. Matrix theory. Algebra. Mathematics. Group Theory and Generalizations. Algebraic Geometry. Linear and Multilinear Algebras, Matrix Theory. Grosshans, Frank D. author. SpringerLink (Online service) Algebraic Homogeneous Spaces and Invariant Theory [electronic resource] / |
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The invariant theory of non-reductive groups has its roots in the 19th century but has seen some very interesting developments in the past twenty years. This book is an exposition of several related topics including observable subgroups, induced modules, maximal unipotent subgroups of reductive groups and the method of U-invariants, and the complexity of an action. Much of this material has not appeared previously in book form. The exposition assumes a basic knowledge of algebraic groups and then develops each topic systematically with applications to invariant theory. Exercises are included as well as many examples, some of which are related to geometry and physics. |
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Texto |
topic_facet |
Mathematics. Algebraic geometry. Group theory. Matrix theory. Algebra. Mathematics. Group Theory and Generalizations. Algebraic Geometry. Linear and Multilinear Algebras, Matrix Theory. |
author |
Grosshans, Frank D. author. SpringerLink (Online service) |
author_facet |
Grosshans, Frank D. author. SpringerLink (Online service) |
author_sort |
Grosshans, Frank D. author. |
title |
Algebraic Homogeneous Spaces and Invariant Theory [electronic resource] / |
title_short |
Algebraic Homogeneous Spaces and Invariant Theory [electronic resource] / |
title_full |
Algebraic Homogeneous Spaces and Invariant Theory [electronic resource] / |
title_fullStr |
Algebraic Homogeneous Spaces and Invariant Theory [electronic resource] / |
title_full_unstemmed |
Algebraic Homogeneous Spaces and Invariant Theory [electronic resource] / |
title_sort |
algebraic homogeneous spaces and invariant theory [electronic resource] / |
publisher |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, |
publishDate |
1997 |
url |
http://dx.doi.org/10.1007/BFb0093525 |
work_keys_str_mv |
AT grosshansfrankdauthor algebraichomogeneousspacesandinvarianttheoryelectronicresource AT springerlinkonlineservice algebraichomogeneousspacesandinvarianttheoryelectronicresource |
_version_ |
1756268386672705536 |