Universal Decomposition Algebras Represent Endomorphisms
Ommolbanin Behzad, Abbas Nasrollah Nejad · arXiv (Cornell University) · 2020
The goal of this paper is to supply an explicit description of the universal decomposition 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 $n\times n$ matrices with polynomial entries. This is related with the bosonic vertex representation of the Lie algebra $gl_\infty$ due to Date, Jimbo, Kashiwara and Miwa.