By Walter Ferrer Santos,Alvaro Rittatore
The first chapters introduce the topic and overview the necessities in commutative algebra, algebraic geometry, and the speculation of semisimple Lie algebras over fields of attribute 0. The authors' early presentation of the thoughts of activities and quotients is helping to elucidate the following fabric, quite within the learn of homogeneous areas. This learn contains a specific remedy of the quasi-affine and affine instances and the corresponding recommendations of observable and specified subgroups.
Among the various different themes mentioned are Hilbert's 14th challenge, whole with examples and counterexamples, and Mumford's effects on quotients through reductive teams. End-of-chapter routines, which variety from the regimen to the particularly tricky, construct services in operating with the basic innovations. The Appendix additional complements this work's completeness and accessibility with an exhaustive thesaurus of easy definitions, notation, and results.
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Extra info for Actions and Invariants of Algebraic Groups (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
Actions and Invariants of Algebraic Groups (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) by Walter Ferrer Santos,Alvaro Rittatore