Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action
A. Bialynicki-Birula (u. a.)
ISBN 10: 3642077455 ISBN 13: 9783642077456
Verlag: Springer-Verlag GmbH, 2011
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Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action | A. Bialynicki-Birula (u. a.) | Taschenbuch | v | Englisch | 2011 | Springer-Verlag GmbH | EAN 9783642077456 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Bestandsnummer des Verkäufers 105259802
Inhaltsangabe:
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.
Críticas:
"This volume of the Encyclopaedia of Mathematical Sciences contains three contributions on actions of algebraic groups. The first one, by A. Bialynicki-Birula, is concerned with the general concept of a quotient, while the other two, by J.B.Carrell and W.M. McGovern, are on more specific topics. [...]
These three articles are all of value, but have somewhat different nature. Bialynicki-Birula's is a survey of a very wide area of research and requires much prior knowledge on the part of the reader. It is certainly not some something one could suggest as reading for a starting graduate student, but it is a useful reference for those who already have some knowledge and want to know about some aspect of the theory of quotients. The other two articles are much more accessible, especially that of McGovern, but could also be used as a source of general reference in the (more limited) areas they study."
P.Newstead, Liverpool, Jahresberichte der DMV, Vol. 107, Issue 4 (2005)
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Titel: Algebraic Quotients. Torus Actions and ...
Verlag: Springer-Verlag GmbH
Erscheinungsdatum: 2011
Einband: Taschenbuch
Zustand: Neu
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Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action
ISBN 10: 3642077455
ISBN 13: 9783642077456
Neu
Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 252 pp. Englisch. Artikel-Nr. 9783642077456
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Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783642077456
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Algebraic Quotients. Torus Actions and Cohomology. the Adjoint Representation and the Adjoint Action
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