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Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action

  • Fester Einband
  • 252 Seiten
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This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". The aim of the survey by A.... Weiterlesen
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Beschreibung

This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". The aim of the survey by A. Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applications to problems of moduli theory. The contribution by J. Carrell treats the subject of torus actions on algebraic varieties, giving a detailed exposition of many of the cohomological results one obtains from having a torus action with fixed points. Many examples, such as toric varieties and flag varieties, are discussed in detail. W.M. McGovern studies the actions of a semisimple Lie or algebraic group on its Lie algebra via the adjoint action and on itself via conjugation. His contribution focuses primarily on nilpotent orbits that have found the widest application to representation theory in the last thirty-five years.

Surveys on the current state of invariant theory



Inhalt
I. Quotients by Actions of Groups.- II. Torus Actions and Cohomology.- III. The Adjoint Representation and the Adjoint Action.

Produktinformationen

Titel: Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action
Autor:
EAN: 9783540432111
ISBN: 3540432116
Format: Fester Einband
Herausgeber: Springer Berlin Heidelberg
Anzahl Seiten: 252
Gewicht: 547g
Größe: H241mm x B160mm x T18mm
Jahr: 2002
Auflage: 2002

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