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Characters and Automorphism Groups of Compact Riemann Surfaces.
・ISBN 978-0-521-79809-9 paper GB£ 65.00
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| 著者・編者 | Breuer, Thomas, |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2000 |
| ページ数 | 212 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2049＞ |
解説
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.