Actions and Invariants of Algebraic Groups

2nd Edition

Walter Ricardo Ferrer Santos, Alvaro Rittatore

Chapman and Hall/CRC
Published December 20, 2016
Reference - 479 Pages - 10 B/W Illustrations
ISBN 9781482239157 - CAT# K23260
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics


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  • Presents the results introducing, in a systematic way, the language of Hopf algebra theory
  • Adds one new chapter on observability, that is an important and recent development in the field
  • Aims to facilitate the reading for non-specialists; many simplifications of the standard classical proofs are introduced along the text
  • Occasional historical short comments are introduced in order to put the topics into a more global perspective, which is helpful for researchers and students
  • Includes sets of problems at the end of each chapter for its use in a regular course.


Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.