Group Theory

Download e-book for iPad: Actions and Invariants of Algebraic Groups (Chapman & by Walter Ferrer Santos,Alvaro Rittatore

By Walter Ferrer Santos,Alvaro Rittatore

ISBN-10: 082475896X

ISBN-13: 9780824758967

activities and Invariants of Algebraic teams offers a self-contained advent to geometric invariant concept that hyperlinks the elemental conception of affine algebraic teams to Mumford's extra refined conception. The authors systematically take advantage of the perspective of Hopf algebra idea and the speculation of comodules to simplify and compactify some of the appropriate formulation and proofs.

The first chapters introduce the topic and evaluate 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 innovations of activities and quotients is helping to elucidate the following fabric, really within the examine of homogeneous areas. This examine contains a certain remedy of the quasi-affine and affine circumstances and the corresponding thoughts of observable and certain subgroups.

Among the numerous 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 diversity from the regimen to the particularly tough, construct services in operating with the elemental recommendations. The Appendix additional complements this work's completeness and accessibility with an exhaustive word list of simple 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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