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arXiv · 2006.07893

Universal Decomposition Algebras Represent Endomorphisms

Ommolbanin Behzad·Abbas Nasrollah Nejad
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Abstract

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.

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Ommolbanin Behzad, Abbas Nasrollah Nejad. 2020-06-14. Universal Decomposition Algebras Represent Endomorphisms. https://arxiv.org/abs/2006.07893

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