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OverviewThis book is essentially self-contained and requires only a basic abstract algebra course as background. The book includes and extends much of the classical theory of SL(2) representations of groups. Readers will find SL(2) Representations of Finitely Presented Groups relevant to geometric theory of three dimensional manifolds, representations of infinite groups, and invariant theory. Features...* A new finitely computable invariant H[*p] associated to groups and used to study the SL(2) representations of *p * Invariant theory and knot theory related through SL(2) representations of knot groups. Full Product DetailsAuthor: G.W. Brumfiel , H.M. HildenPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 187 Weight: 0.373kg ISBN: 9780821804162ISBN 10: 0821804162 Pages: 196 Publication Date: 30 July 1995 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsThe definition and some basic properties of the algebra $H[\pi]$ A decomposition of the algebra $H[\pi]$ when $\frac 12\in k$ Structure of the algebra $H[\pi]$ for two-generator groups Absolutely irreducible $SL(2)$ representations of two-generator groups Further identities in the algebra $H[\pi]$ when $\frac 12\in k$ Structure of $H^+[\pi_n]$ for free groups $\pi_n$ Quaternion algebra localizations of $H[\pi]$ and absolutely irreducible $SL(2)$ representations Algebro-geometric interpretation of $SL(2)$ representations of groups The universal matrix representation of the algebra $H[\pi]$ Some knot invariants derived from the algebra $H[\pi]$ Appendix A Appendix B References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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