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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
冊子体	Algebraic quotients. Torus actions and cohomology. The adjoint representation and the adjoint action / A. Białynicki-Birula, J.B. Carrell, W.M. McGovern
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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-3-662-05071-2

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