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Geometric invariant theory : over the real and complex numbers / Nolan R Wallach.

By: Material type: TextTextSeries: UniversitextPublication details: Cham : Springer, 2017.Description: xiv, 190 pages ; 24 cmISBN:
  • 9783319659053
DDC classification:
  • 516.35 23 W187
Contents:
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.
Summary: 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.
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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.

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.

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