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Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action (Paperback, Softcover reprint of the original 1st ed. 2002)
Loot Price: R2,944
Discovery Miles 29 440
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Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action (Paperback, Softcover reprint of the original 1st ed. 2002)
Series: Encyclopaedia of Mathematical Sciences, 131
Expected to ship within 10 - 15 working days
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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.
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