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Characters and Automorphism Groups of Compact Riemann Surfaces
Thomas Breuer
出版Cambridge University Press, 2000-09-21
主題Mathematics / Algebra / GeneralMathematics / CalculusMathematics / Geometry / GeneralMathematics / Mathematical AnalysisMathematics / TopologyMedical / General
ISBN05217980949780521798099
URLhttp://books.google.com.hk/books?id=GKUBky1C0VEC&hl=&source=gbs_api
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註釋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.