Algebraic homogeneous spaces and invariant theory /
Grosshans, Frank D., 1942-
Algebraic homogeneous spaces and invariant theory / Frank D. Grosshans. - Berlin ; New York : Springer, ©1997. - 1 online resource (vi, 148 pages) - Lecture notes in mathematics, 1673 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1673. .
Includes bibliographical references (pages 138-145) and index.
From the contents: Introduction -- Observable Subgroups -- The Transfer Principle -- Invariants of Maximal Unipotent Subgroups -- Complexity -- References -- List of Symbols -- Index.
University staff and students only. Requires University Computer Account login off-campus.
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.
9783540696179 3540696172
Algebraic spaces.
Invariants.
Group actions (Mathematics)
Espaces algébriques.
Invariants.
Actions de groupes (Mathématiques)
Invariantes
Algebraic spaces
Group actions (Mathematics)
Invariants
Commutatieve algebra's.
Homogene ruimten.
Invarianten.
Geometria algebrica.
Espaces algébriques.
Actions de groupes (mathématiques)
Invariants.
QA3 / .L28 no. 1673 QA564
510 s 512.9/44
Algebraic homogeneous spaces and invariant theory / Frank D. Grosshans. - Berlin ; New York : Springer, ©1997. - 1 online resource (vi, 148 pages) - Lecture notes in mathematics, 1673 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1673. .
Includes bibliographical references (pages 138-145) and index.
From the contents: Introduction -- Observable Subgroups -- The Transfer Principle -- Invariants of Maximal Unipotent Subgroups -- Complexity -- References -- List of Symbols -- Index.
University staff and students only. Requires University Computer Account login off-campus.
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.
9783540696179 3540696172
Algebraic spaces.
Invariants.
Group actions (Mathematics)
Espaces algébriques.
Invariants.
Actions de groupes (Mathématiques)
Invariantes
Algebraic spaces
Group actions (Mathematics)
Invariants
Commutatieve algebra's.
Homogene ruimten.
Invarianten.
Geometria algebrica.
Espaces algébriques.
Actions de groupes (mathématiques)
Invariants.
QA3 / .L28 no. 1673 QA564
510 s 512.9/44