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Algebraic homogeneous spaces and invariant theory

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 grou...

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Autor principal: Grosshans, Frank D
Lenguaje:eng
Publicado: Springer 1997
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0093525
http://cds.cern.ch/record/1691670
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author Grosshans, Frank D
author_facet Grosshans, Frank D
author_sort Grosshans, Frank D
collection CERN
description 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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spelling cern-16916702021-04-21T21:08:02Zdoi:10.1007/BFb0093525http://cds.cern.ch/record/1691670engGrosshans, Frank DAlgebraic homogeneous spaces and invariant theoryMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:16916701997
spellingShingle Mathematical Physics and Mathematics
Grosshans, Frank D
Algebraic homogeneous spaces and invariant theory
title Algebraic homogeneous spaces and invariant theory
title_full Algebraic homogeneous spaces and invariant theory
title_fullStr Algebraic homogeneous spaces and invariant theory
title_full_unstemmed Algebraic homogeneous spaces and invariant theory
title_short Algebraic homogeneous spaces and invariant theory
title_sort algebraic homogeneous spaces and invariant theory
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0093525
http://cds.cern.ch/record/1691670
work_keys_str_mv AT grosshansfrankd algebraichomogeneousspacesandinvarianttheory