Characters and Automorphism Groups of Compact Riemann Surfaces
Seiten
2000
Cambridge University Press (Verlag)
978-0-521-79809-9 (ISBN)
Cambridge University Press (Verlag)
978-0-521-79809-9 (ISBN)
Using modern methods from computational group theory and representation theory, this book addresses a classical topic in the theory of complex functions. It is suitable for graduate students and researchers.
This book deals with automorphism groups of compact Riemann surfaces, of genus at least two, viewed as factor groups of Fuchsian groups. The author uses modern methods from computational group theory and representation theory, providing 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.
This book deals with automorphism groups of compact Riemann surfaces, of genus at least two, viewed as factor groups of Fuchsian groups. The author uses modern methods from computational group theory and representation theory, providing 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.
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.
Erscheint lt. Verlag | 21.9.2000 |
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Reihe/Serie | London Mathematical Society Lecture Note Series |
Zusatzinfo | 29 Tables, unspecified; 3 Line drawings, unspecified |
Verlagsort | Cambridge |
Sprache | englisch |
Maße | 313 x 231 mm |
Gewicht | 320 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 0-521-79809-4 / 0521798094 |
ISBN-13 | 978-0-521-79809-9 / 9780521798099 |
Zustand | Neuware |
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