The affine Yangian of gl1 revisited
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DOI: 10.1016/j.aim.2016.08.041
Abstract: Abstract The affine Yangian of gl 1 has recently appeared simultaneously in the work of Maulik–Okounkov [11] and Schiffmann–Vasserot [20] in connection with the Alday–Gaiotto–Tachikawa conjecture. While the presentation from [11] is purely geometric, the… read more here.
Keywords: gl1 revisited; quantum; yangian gl1; affine yangian ... See more keywords
A homomorphism from the affine Yangian Yℏ,ε(sl̂(n)) to the affine Yangian Yℏ,ε(sl̂(n+1))
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DOI: 10.1063/5.0226669
Abstract: We construct a homomorphism from the affine Yangian Yℏ,ε(sl̂(n)) to the standard degreewise completion of the affine Yangian Yℏ,ε(sl̂(n+1)). We also give the relationship between this homomorphism and the one from the affine Yangian Yℏ,ε(sl̂(n))… read more here.
Keywords: affine; algebra; affine yangian; homomorphism affine ... See more keywords
Affine Yangians and some cosets of non-rectangular W -algebras
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DOI: 10.1063/5.0267283
Abstract: We construct a homomorphism from the affine Yangian associated with sl̂(qu−qu+1) to the universal enveloping algebra of a W-algebra associated with gl∑s=1lqs and a nilpotent element of type (1q1−q2,2q2−q3,…,(l−1)ql−1−ql,lql) by using the coproduct and evaluation… read more here.
Keywords: cosets non; algebra; affine yangian; non rectangular ... See more keywords