Counting SL2(Fq)-representations of torus knot groups

被引：1

作者：

Li, WP ^{[1
]}

Xu, L ^{[1
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2004年 / 13卷 / 03期

基金：

美国国家科学基金会;

关键词：

SL2(F-q)-representation; conjugacy class; (n; m)-Torus knot;

D O I：

10.1142/S0218216504003238

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we count the number of SL2 (F-q)-representations of torus knot group up to conjugacy. For the finite field F-q case, the counting methods are interested in its own right. Explicit formulae of the effective counting are given in this paper.

引用

页码：401 / 426

页数：26

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