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$SL(2)$ Representations of Finitely Presented Groups

About this Title

G. W. Brumfiel and H. M. Hilden

Publication: Contemporary Mathematics
Publication Year: 1995; Volume 187
ISBNs: 978-0-8218-0416-2 (print); 978-0-8218-7778-4 (online)
DOI: https://doi.org/10.1090/conm/187
MathSciNet review: 1339764

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Table of Contents

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Front/Back Matter

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Chapters

• Introduction
• Chapter 1. The Definition and Some Basic Properties of the Algebra $H[\pi ]$
• Chapter 2. ADecomposition of the Algebra $H[\pi ]$ when $\frac {1}{2}\in k$
• Chapter 3. Structure of the Algebra $H[\pi ]$ for Two-Generator Groups
• Chapter 4. Absolutely Irreducible $SL(2)$ Representations of Two-Generator Groups
• Chapter 5. Further Identities in the Algebra $H[\pi ]$ when $\frac {1}{2}\in k$
• Chapter 6. Structure of $H^{+}[\pi _{n}]$ for Free Groups $\pi _{n}$
• Chapter 7. Quaternion Algebra Localizations of $H[\pi ]$ and Absolutely Irreducible $SL(2)$ Representations
• Chapter 8. Algebro-Geometric Interpretation of SL(2) Representations of Groups
• Chapter 9. The Universal Matrix Representation of the Algebra $H[\pi ]$
• Chapter 10. Some Knot Invariants Derived from the Algebra $H[\pi ]$
• Appendix A. Addenda
• Appendix B. Afterword
• Bibliography