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吴文俊数学重点实验室代数学系列报告之一百【Dr. Trueman MacHenry】
报告题目:The Ring of Isobaric Polynomials

报告人:Dr. Trueman MacHenry , York University

时间:12月12日(周一)下午3:00—4:00

地点:管研楼1518教室

摘要:An isobaric polynomial is a symmetric polynomial written on the ESP (Elementary Symmetric Polynomials). We consider two especially interesting linearly recursive sequences in this ring, the Generalized Fibonacci Polynomials (GFP) and the Generalized Lucas Polynomials(GLP). We equip this ring with a convolution product, which is a version of the Dirichlet Product in Arithmetic Function Theory. There are two especially interesting groups: one is the Group of Multiplicative Arithmetic functions, and the other is the Group of Additive Arithmetic Functions. These two groups have faithful representation in the Isobaric Ring, namely, using, respectively, the GFP’s and the GLP’s.

邀请人:陈洪佳

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中国科学院吴文俊数学重点实验室