algebraic quotients torus actions and cohomology the adjoint representation and the adjoint action encyclopaedia of mathematical sciences

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Algebraic Quotients Torus Actions And Cohomology The Adjoint Representation And The Adjoint Action

Author : A. Bialynicki-Birula
ISBN : 3540432116
Genre : Mathematics
File Size : 43. 10 MB
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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.

Algebraic Cycles Sheaves Shtukas And Moduli

Author : Piotr Pragacz
ISBN : 3764385375
Genre : Mathematics
File Size : 42. 6 MB
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Articles examine the contributions of the great mathematician J. M. Hoene-Wronski. Although much of his work was dismissed during his lifetime, it is now recognized that his work offers valuable insight into the nature of mathematics. The book begins with elementary-level discussions and ends with discussions of current research. Most of the material has never been published before, offering fresh perspectives on Hoene-Wronski’s contributions.

Actions And Invariants Of Algebraic Groups

Author : Walter Ricardo Ferrer Santos
ISBN : 9781351644778
Genre : Mathematics
File Size : 65. 94 MB
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Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.

Mathematical Reviews

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ISBN : UVA:X006180437
Genre : Mathematics
File Size : 25. 59 MB
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Newsletter

Author : New Zealand Mathematical Society
ISBN : UOM:39015057376611
Genre : Mathematics
File Size : 40. 16 MB
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