TL;DR
This paper explores new features of the shuffle algebra to derive explicit formulas connecting its Drinfeld double with the elliptic Hall algebra, enhancing understanding of their algebraic relationship.
Contribution
It introduces novel features of the shuffle algebra that enable explicit isomorphism formulas with the elliptic Hall algebra.
Findings
Explicit formulas for the isomorphism between the Drinfeld double of the shuffle algebra and the elliptic Hall algebra.
New structural features of the shuffle algebra elucidated.
Enhanced algebraic understanding of the relationship between shuffle algebra and elliptic Hall algebra.
Abstract
In this paper, we introduce certain new features of the shuffle algebra, that will allow us to obtain explicit formulas for the isomorphism between its Drinfeld double and the elliptic Hall algebra.
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