Characters and Automorphism Groups of Compact Riemann Surfaces

Characters and Automorphism Groups of Compact Riemann Surfaces pdf epub mobi txt 電子書 下載2025

出版者:
作者:Breuer, Thomas
出品人:
頁數:224
译者:
出版時間:2000-9
價格:$ 68.93
裝幀:
isbn號碼:9780521798099
叢書系列:London Mathematical Society Lecture Note Series
圖書標籤:
  • CV
  • Riemann surfaces
  • Automorphism groups
  • Character varieties
  • Complex analysis
  • Algebraic geometry
  • Topology
  • Moduli spaces
  • Differential geometry
  • Representation theory
  • Compact manifolds
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具體描述

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.

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