| Counting SL2（F2^s） Representations of Torus Knot Groups |
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| 作者姓名： | WeiPingLi |
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| 作者单位： | DepartmentofMathematics,OklahomaStateUniversity,Stillwater,Oklahoma74078-0613,USA |
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| 摘 要： | In this paper,we count the number of SL2(F2^s)-representations of torus knot groups up to a conjugacy.For the finite field F2^s with character 2,the counting method is similar to that in out previous work1].Explicit formulae of the effective counting are given in this paper.Twisted Alexander polynomials related to those reprsentations are discussed.
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| 关 键 词： | 环面纽结群 记数表示 共轭性 扭转Alexander多项式 显式公式 不等表示 |
Counting SL2$$
{\left( {F_{{2^{s} }} } \right)}
$$ Representations of Torus Knot Groups |
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| WeiPingLi.Counting SL2$$
{\left( {F_{{2^{s} }} } \right)}
$$ Representations of Torus Knot Groups[J].Acta Mathematica Sinica,2003,19(2):233-244. |
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| Authors: | Email author" target="_blank">Wei?Ping?LiEmail author Liang?Xu |
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| Institution: | (1) Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078-0613, USA |
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| Abstract: | In this paper we count the number of SL
2
representations of torus knot groups up to a conjugacy. For the finite field
with character 2, the counting method is similar to that in our previous work 1]. Explicit formulae of the effective counting
are given in this paper. Twisted Alexander polynomials related to those representations are discussed. |
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| Keywords: | " target="_blank">SL2(  gif" alt="$$
F_{{2^{s} }}
" target="_blank">$$" align="middle" border="0"> ) representation Conjugacy class (n m)-torus knot Twisted Alexander polynomial |
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