SL(2) representations of finitely presented groups
著者
書誌事項
SL(2) representations of finitely presented groups
（Contemporary mathematics, v. 187）
American Mathematical Society, c1995
大学図書館所蔵 全59件
注記
Includes bibliographical references
内容説明・目次
内容説明
This 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. It features: a new finitely computable invariant $H[\pi]$ associated to groups and used to study the $SL(2)$ representations of $\pi$; and, invariant theory and knot theory related through $SL(2)$ representations of knot groups.
目次
The 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.
「Nielsen BookData」 より