Read e-book online Algebraic Quotients. Torus Actions and Cohomology. The PDF

By A. Bialynicki-Birula,J. Carrell,W.M. McGovern

this is often the second one quantity of the hot subseries "Invariant conception and Algebraic Transformation Groups". the purpose of the survey by means of A. Bialynicki-Birula is to give the most tendencies and achievements of analysis within the concept of quotients through activities of algebraic teams. This idea comprises geometric invariant idea with quite a few purposes to difficulties of moduli idea. The contribution through J. Carrell treats the topic of torus activities on algebraic types, giving an in depth exposition of some of the cohomological effects one obtains from having a torus motion with fastened issues. Many examples, comparable to toric types and flag types, are mentioned intimately. W.M. McGovern stories the activities of a semisimple Lie or algebraic workforce on its Lie algebra through the adjoint motion and on itself through conjugation. His contribution focuses totally on nilpotent orbits that experience discovered the widest software to illustration thought within the final thirty-five years.

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Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action (Encyclopaedia of Mathematical Sciences) by A. Bialynicki-Birula,J. Carrell,W.M. McGovern


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