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Actions and Invariants of Algebraic Groups book cover

2nd Edition

Actions and Invariants of Algebraic Groups

By Walter Ricardo Ferrer Santos, Alvaro Rittatore Copyright 2017
480 Pages 10 B/W Illustrations
by Chapman & Hall

479 Pages 10 B/W Illustrations
by Chapman & Hall
Also available as eBook on:
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... Read more

Algebraic geometry. Lie algebras. Algebraic groups: basic definitions. Algebraic groups: Lie algebras and representations. Algebraic groups: Jordan decomposition and applications. Actions of algebraic groups. Homogeneous spaces. Algebraic groups and Lie algebras in characteristic zero. Observable subgroups of affine algebraic groups. Observable actions of affine algebraic groups. Observable subgroups of affine monoids. Affine homogeneous spaces. Hilbert's 14th problem. Quotients. Appendix. Basic definitions and results.

Biography

Walter Ferrer Santos is a professor of mathematics at the University of the Republic, Montevideo, Uruguay.

Alvaro Rittatore is an associate professor of mathematics at the University of the Republic, Montevideo, Uruguay.

"[The new edition of this book] retains all of the attractive features of the first edition and adds new chapters on observable actions (Chapter 15) and geometric invariant theory (Chapter 16)."

- Frank D. Grosshans, Mathematical Reviews, August 2017

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