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Characters and Automorphism Groups of Compact Riemann Surfaces Thomas Breuer

Characters and Automorphism Groups of Compact Riemann Surfaces

Thomas Breuer

Published September 21st 2000
ISBN : 9780521798099
Paperback
212 pages
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 About the Book 

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 ordinaryMoreThe 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.