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Read e-book online Actions and Invariants of Algebraic Groups (Chapman & PDF

By Walter Ferrer Santos,Alvaro Rittatore

activities and Invariants of Algebraic teams provides a self-contained creation to geometric invariant idea that hyperlinks the fundamental concept of affine algebraic teams to Mumford's extra subtle concept. The authors systematically make the most the perspective of Hopf algebra idea and the speculation of comodules to simplify and compactify a number of the suitable formulation and proofs.

The first chapters introduce the topic and overview the must haves in commutative algebra, algebraic geometry, and the speculation of semisimple Lie algebras over fields of attribute 0. The authors' early presentation of the suggestions of activities and quotients is helping to explain the next fabric, fairly within the learn of homogeneous areas. This research encompasses a specific remedy of the quasi-affine and affine situations and the corresponding thoughts of observable and unique subgroups.

Among the numerous different issues mentioned are Hilbert's 14th challenge, entire with examples and counterexamples, and Mumford's effects on quotients through reductive teams. End-of-chapter workouts, which diversity from the regimen to the relatively tough, construct services in operating with the elemental ideas. The Appendix additional complements this work's completeness and accessibility with an exhaustive thesaurus of easy definitions, notation, and results.

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Actions and Invariants of Algebraic Groups (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) by Walter Ferrer Santos,Alvaro Rittatore


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