Algebraic Quotients. Torus Actions and Cohomology. The by A. Bialynicki-Birula,J. Carrell,W.M. McGovern PDF

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

this can be the second one quantity of the recent subseries "Invariant concept and Algebraic Transformation Groups". the purpose of the survey by way of A. Bialynicki-Birula is to give the most traits and achievements of study within the idea of quotients by way of activities of algebraic teams. This idea includes geometric invariant concept with quite a few functions to difficulties of moduli thought. The contribution via J. Carrell treats the topic of torus activities on algebraic forms, giving an in depth exposition of a few of the cohomological effects one obtains from having a torus motion with mounted issues. Many examples, resembling toric kinds and flag kinds, are mentioned intimately. W.M. McGovern reports the activities of a semisimple Lie or algebraic team on its Lie algebra through the adjoint motion and on itself through conjugation. His contribution focuses totally on nilpotent orbits that experience chanced on 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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