English

Universal Decomposition Algebras Represent Endomorphisms

Algebraic Geometry 2020-06-16 v1

Abstract

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

Keywords

Cite

@article{arxiv.2006.07893,
  title  = {Universal Decomposition Algebras Represent Endomorphisms},
  author = {Ommolbanin Behzad and Abbas Nasrollah Nejad},
  journal= {arXiv preprint arXiv:2006.07893},
  year   = {2020}
}
R2 v1 2026-06-23T16:18:42.231Z