Characters and Automorphism Groups of Compact Riemann Surfaces
The author uses modern methods from computational group theory and representation theory to treat this classical topic of function theory. He provides classifications of all automorphism groups up to genus 48. The book also classifies the ordinary characters for several groups, arising from the action of automorphisms on the space of holomorphic abelian differentials of a compact Reimann surface. This book is suitable for graduate students and researchers in group theory, representation theory, complex analysis and computer algebra.
1100751642
Characters and Automorphism Groups of Compact Riemann Surfaces
The author uses modern methods from computational group theory and representation theory to treat this classical topic of function theory. He provides classifications of all automorphism groups up to genus 48. The book also classifies the ordinary characters for several groups, arising from the action of automorphisms on the space of holomorphic abelian differentials of a compact Reimann surface. This book is suitable for graduate students and researchers in group theory, representation theory, complex analysis and computer algebra.
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Characters and Automorphism Groups of Compact Riemann Surfaces

Characters and Automorphism Groups of Compact Riemann Surfaces

by Thomas Breuer
Characters and Automorphism Groups of Compact Riemann Surfaces

Characters and Automorphism Groups of Compact Riemann Surfaces

by Thomas Breuer

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$69.00 
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Overview

The author uses modern methods from computational group theory and representation theory to treat this classical topic of function theory. He provides classifications of all automorphism groups up to genus 48. The book also classifies the ordinary characters for several groups, arising from the action of automorphisms on the space of holomorphic abelian differentials of a compact Reimann surface. This book is suitable for graduate students and researchers in group theory, representation theory, complex analysis and computer algebra.

Product Details

ISBN-13: 9780521798099
Publisher: Cambridge University Press
Publication date: 09/21/2000
Series: London Mathematical Society Lecture Note Series , #280
Pages: 212
Product dimensions: 12.32(w) x 9.09(h) x 0.43(d)

Table of Contents

Preface; Notation; 1. Compact Riemann surfaces; 2. Group characters; 3. Automorphisms of compact Riemann surfaces; 4. Generation of groups; 5. Classification for small genus; 6. Classification for fixed group: real characters; 7. Classification for fixed group: nonreal irrationalities; Appendix A. Abelian inariants; Appendix B. Irreducible characters; Appendix C. Maillet's determinant; Bibliography; Index.
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