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Wallach, Nolan R.

Geometric Invariant Theory : Over the Real and Complex Numbers - Cham Springer 2017 - xiv, 190p.

Includes References (186-187) and Index

1. Algebraic Geometry
2. Lie Groups and Algebraic Groups
4. Weight Theory in Geometric Invariant Theory
5. Classical and Geometric Invariant Theory for Products of Classical Groups

Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers. This sophisticated topic is elegantly presented with enough background theory included to make the text accessible to advanced graduate students in mathematics and physics with diverse backgrounds in algebraic and differential geometry. Throughout the book, examples are emphasized. Exercises add to the reader’s understanding of the material; most are enhanced with hints. The exposition is divided into two parts. The first part, ‘Background Theory’, is organized as a reference for the rest of the book. It contains two chapters developing material in complex and real algebraic geometry and algebraic groups that are difficult to find in the literature.

ISBN: 9783319659053 (PB)

Subjects--Topical Terms:
Algebraic Geometry
Invariants
Group theory

Universal Decimal Class. No.: 512 / WAL