The goal of this paper is to supply an explicit description of the universal factorization algebra of the generic polynomial of degree n into the product of two monic polynomials, one of degree r, as a representation of Lie algebras of n × n matrices with polynomial entries. This is related with the bosonic vertex representation of the Lie algebra gl∞ due to Date, Jimbo, Kashiwara and Miwa.

中文翻译：

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多项式的全因式分解代数表示自同态的李代数

本文的目的是提供对通用度多项式的全因式分解代数的明确描述n成两个一元多项式的乘积，一个度r, 作为李代数的表示n × n具有多项式条目的矩阵。这与李代数的玻色子顶点表示有关Gl∞由于伊达、神保、柏原和美羽。