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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.
Macdonald I. G., Symmetric functions and Hall polynomials
1995
Earlier work this paper cites.
Feigin B., Hashizume K., Hoshino A., Shiraishi J., Yanagida S., A commutative algebra on degenerate ℂ ℙ 1 {\mathbb{C}}{\mathbb{P}}^{1} and MacDonald polynomials
2009
Earlier work this paper cites.
Burban I., Schiffmann O., On the Hall algebra of an elliptic curve I
2012
Cited alongside, same era.
Dou R., Jiang. Y, Xiao J., The Hall algebra approach to Drinfeld’s presentation of quantum loop algebras
2012
Cited alongside, same era.
Gorsky E., Negut A., Refined knot invariants and Hilbert schemes
Cited in the paper.
Negut A., Moduli of flags of sheaves on ℙ 2 {\mathbb{P}}^{2} and their K − K- theory
Cited in the paper.
Schiffmann O., Vasserot E., The elliptic Hall algebra and the equivariant K − K- theory of the Hilbert scheme of 𝔸 2 {\mathbb{A}}^{2}
2013
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