Categories of Symmetries and Infinite-Dimensional Groups
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Categories of Symmetries and Infinite-Dimensional Groups: (16 London Mathematical Society Monographs)

Categories of Symmetries and Infinite-Dimensional Groups: (16 London Mathematical Society Monographs)


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About the Book

For mathematicians working in group theory, the study of the many infinite-dimensional groups has been carried out in an individual and non-coherent way. For the first time, these apparently disparate groups have been placed together, in order to construct the `big picture'. This book successfully gives an account of this - and shows how such seemingly dissimilar types such as the various groups of operators on Hilbert spaces, or current groups are shown to belong to a bigger entitity. This is a ground-breaking text will be important reading for advanced undergraduate and graduate mathematicians.

Table of Contents:
Preface 1: Visible and invisible structures on infinite-dimensional groups 2: Spinor representation 3: Representations of the complex classical categories 4: Fermion Fock space 5: The Weil representation: finite-dimensional case 6: The Weil representation: infinite-dimensional case 7: Representations of the diffeomorphisms of a circle and the Virasoro algebra 8: The heavy groups 9: Infinite-dimensional classical groups and almost invariant structures 10: Some algebraic constructions of measure theory Appendix A The real classical categories Appendix B Semple complexes, hinges, and boundaries of symmetric spaces Appendix C Boson-fermion correspondence Appendix D Univalent functions and the Grunsky operator Appendix E Characteristic Livsic function Appendix F Examples, counterexamples, notes References Index

Review :
`The style of the book is clear. Ideas are well explained, and the author helps the readers to pass by several technical difficulties. The book can be recommended to researchers who are interested in symmetries and infinite-dimensional groups both from a theoretical and practical point of view.' Zentrallblatt fur Mathematik und ihre Grenzgebiete No. 858, 1997


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Product Details
  • ISBN-13: 9780198511861
  • Publisher: Oxford University Press
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Spine Width: 28 mm
  • Width: 163 mm
  • ISBN-10: 0198511868
  • Publisher Date: 11 Jul 1996
  • Height: 241 mm
  • No of Pages: 432
  • Series Title: 16 London Mathematical Society Monographs
  • Weight: 756 gr


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Categories of Symmetries and Infinite-Dimensional Groups: (16 London Mathematical Society Monographs)
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Categories of Symmetries and Infinite-Dimensional Groups: (16 London Mathematical Society Monographs)
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