Name: algebraic quotients. torus actions and cohomology. the adjoint representation and the adjoint action (en Inglés)
Price: 104.20 USD
Availability: InStock
Author: Bialynicki-Birula, A. ; Carrell, J. ; McGovern, W. M.
ISBN: 9783642077456

portada algebraic quotients. torus actions and cohomology. the adjoint representation and the adjoint action (en Inglés)

Formato

Libro Físico

Autor

Editorial

Año

2013

Idioma

Inglés

N° páginas

242

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 1.3 cm

Peso

0.36 kg.

ISBN

3642077455

ISBN13

9783642077456

Categorías

Grupos matemáticos y teoría de grupos
Geometría diferencial y riemanniana
Geometría algebraica

algebraic quotients. torus actions and cohomology. the adjoint representation and the adjoint action (en Inglés)

A. Bialynicki-Birula (Autor) · J. Carrell (Autor) · W. M. McGovern (Autor) · Springer · Tapa Blanda

Libro Físico

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Reseña del libro "algebraic quotients. torus actions and cohomology. the adjoint representation and the adjoint action (en Inglés)"

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.