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＜電子ブック＞
Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action / by A. Bialynicki-Birula, J. Carrell, W.M. McGovern
(Encyclopaedia of Mathematical Sciences ; 131)

版	1st ed. 2002.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2002
本文言語	英語
大きさ	V, 242 p : online resource
著者標目	*Bialynicki-Birula, A author Carrell, J author McGovern, W.M author SpringerLink (Online service)
件　名	LCSH:Topological groups LCSH:Lie groups LCSH:Geometry, Differential LCSH:Algebraic geometry LCSH:Mathematical physics FREE:Topological Groups and Lie Groups FREE:Differential Geometry FREE:Algebraic Geometry FREE:Mathematical Methods in Physics
一般注記	I. Quotients by Actions of Groups -- II. Torus Actions and Cohomology -- III. The Adjoint Representation and the Adjoint Action 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 HTTP:URL=https://doi.org/10.1007/978-3-662-05071-2

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