TY - BOOK AU - Wallach,Nolan R. TI - Geometric invariant theory: over the real and complex numbers T2 - Universitext SN - 9783319659053 U1 - 516.35 23 PY - 2017/// CY - Cham PB - Springer N1 - includes bibliographical references and index; 1. Algebraic geometry -- 2. Lie group and algebraic groups -- 3. The Affine theory -- 4. Weight theory in geometric invariant theory -- 5. Classical and geometric invariant theory for products of classical groups N2 - 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 ER -