1.

Record Nr.

UNINA9910146293503321

Autore

Grosshans Frank D. <1942->

Titolo

Algebraic homogeneous spaces and invariant theory / / Frank D. Grosshans

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer-Verlag, , [1997]

©1997

ISBN

3-540-69617-2

Edizione

[1st ed. 1997.]

Descrizione fisica

1 online resource (VIII, 152 p.)

Collana

Lecture Notes in Mathematics ; ; Volume 1673

Classificazione

13A50

Disciplina

512.74

Soggetti

Algebraic number theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Observable subgroups -- The transfer principle -- Invariants of maximal unipotent subgroups -- Complexity -- Errata.

Sommario/riassunto

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.