| Dewey Class |
512.55 |
| 512.482 |
| Title |
Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action ([EBook] /) / by Andrzej Białynicki-Birula, James B. Carrell, William M. McGovern. |
| Author |
Białynicki-Birula, Andrzej |
| Added Personal Name |
Carrell, James B. author. |
| McGovern, William M. author. |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2002. |
| Physical Details |
V, 242 p. : online resource. |
| Series |
Encyclopaedia of Mathematical Sciences, Invariant Theory and Algebraic Transformationgroups 0938-0396 ; ; 131 |
| ISBN |
9783662050712 |
| Summary Note |
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.: |
| Contents note |
I. Quotients by Actions of Groups -- II. Torus Actions and Cohomology -- III. The Adjoint Representation and the Adjoint Action. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-3-662-05071-2 |
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