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