克莱因群的Poincare级数，Coxeter多项式，Burau表示和Milnor不变量
Poincare series of Klein groups, Coxeter polynomials, the Burau representation and Milnor invariants
摘要：
对于二元多面体群的Poincare级数和Coxeter多项式，得到了与Euclid算法和正交多项式理论相近的命题：广义Ebeling公式，分解成分歧的连分数，Christoffel-Darboux恒等式，组合公式.关于亚历山大-康威多项式的因式分解的已知结果允许将庞加莱级数和考克斯特多项式与弦链的Burau表示和Milnor不变量连接起来。一个使用A 'Campo链路和Coxeter链路的重构。利用S. M. Gusein-Zade，F. Delgado和A.坎皮罗
英文摘要：
For Poincare series of binary polyhedral groups and Coxeter polynomials there are obtained statements close to the Euclid algorithm and orthogonal polynomials theory: generalized Ebeling formula, decompositions into ramified continued fractions, Christoffel-Darboux identity, combinatorial formula. Known results about the factorization of the Alexander-Conway polynomial permit to connect Poincare series and Coxeter polynomials with the Burau representation and Milnor invariants of string links. One uses reconstractions of A'Campo links and Coxeter links. There is formulated a conjecture connecting obtained formulae with Poincare series of ring of functions on singularities through results of S. M. Gusein-Zade, F. Delgado, and A. Campillo.
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