02928nam 22007095 450 991014629350332120250801064846.03-540-69617-210.1007/BFb0093525(CKB)1000000000437340(SSID)ssj0000321114(PQKBManifestationID)12131812(PQKBTitleCode)TC0000321114(PQKBWorkID)10276817(PQKB)11083448(DE-He213)978-3-540-69617-9(MiAaPQ)EBC5610624(Au-PeEL)EBL5610624(OCoLC)1079007527(MiAaPQ)EBC6743002(Au-PeEL)EBL6743002(OCoLC)1281956800(PPN)155173529(EXLCZ)99100000000043734020121227d1997 u| 0engurnn#008mamaatxtccrAlgebraic Homogeneous Spaces and Invariant Theory /by Frank D. Grosshans1st ed. 1997.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1997.1 online resource (VIII, 152 p.)Lecture Notes in Mathematics,1617-9692 ;1673Bibliographic Level Mode of Issuance: Monograph3-540-63628-5 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.Lecture Notes in Mathematics,1617-9692 ;1673Group theoryGeometry, AlgebraicAlgebras, LinearGroup Theory and GeneralizationsAlgebraic GeometryLinear AlgebraGroup theory.Geometry, Algebraic.Algebras, Linear.Group Theory and Generalizations.Algebraic Geometry.Linear Algebra.512.7413A50mscGrosshans Frank D.1942-57438MiAaPQMiAaPQMiAaPQBOOK9910146293503321Algebraic homogeneous spaces and invariant theory78114UNINA