Characters and Automorphism Groups of Compact Riemann Surfaces (London Mathematical Society Lecture Note Series, Series Number 280)

Breuer, Thomas

ISBN 10: 0521798094 / ISBN 13: 9780521798099

Published by Cambridge University Press, 2000

About this Item

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Bibliographic Details

• Title: Characters and Automorphism Groups of Compact Riemann Surfaces (London Mathematical Society Lecture Note Series, Series Number 280)
• Publisher: Cambridge University Press
• Publication Date: 2000
• Language: English
• ISBN 10: 0521798094
• ISBN 13: 9780521798099
• Binding: Soft cover
• Condition: good

About this title

Synopsis

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.

Book Description

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. Suitable for graduate students and researchers in group theory, representation theory, complex analysis and computer algebra.