Symplectic Geometry (eBook)

Carl Ludwig Siegel (Autor)

eBook Download: PDF

2014 | 1. Auflage
92 Seiten
Elsevier Reference Monographs (Verlag)
978-1-4832-6935-1 (ISBN)

Infos

Symplectic Geometry focuses on the processes, methodologies, and numerical approaches involved in symplectic geometry. The book first offers information on the symplectic and discontinuous groups, symplectic metric, and hermitian forms. Numerical calculations are presented to show the values and transformations of these groups. The text then examines the fundamental domain of the modular group and the volume of the fundamental domain of the modular group. Equations and matrices are provided to show the fundamental domain and volume of the fundamental domain of the modular group. The publication ponders on commensurable groups and unit groups of quinary quadratic forms. Numerical analyses are also offered to show the values and characteristics of commensurable and unit groups. The text is a helpful reference for researchers interested in symplectic geometry.

Inhalt

Front Cover 1
Symplectic Geometry 4
Copyright Page 5
Table of Contents 8
PREFACE 6
ERRATA 9
CHAPTER 1. SYMPLECTIC GEOMETRY 10
I. INTRODUCTION 10
II. THE SYMPLECTIC GROUP 17
III. THE SYMPLECTIC METRIC 25
IV. DISCONTINUOUS GROUPS 34
V. HERMITIAN FORMS 39
VI. THE FUNDAMENTAL DOMAIN OF THE MODULAR GROUP 45
VII. THE FUNDAMENTAL DOMAIN OF THE GROUP .(@,§) 53
VIII. THE VOLUME OF THE FUNDAMENTAL DOMAIN OF THE MODULAR GROUP 59
IX. COMMENSURABLE GROUPS 74
X. UNIT GROUPS OF QUINARY QUADRATIC FORMS 83

Produkt-Details

• Erscheint lt. Verlag: 12.5.2014
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Technik
• ISBN-10: 1-4832-6935-3 / 1483269353
• ISBN-13: 978-1-4832-6935-1 / 9781483269351