Coproduct for Yangians of affine Kac–Moody algebras

Guay, Nicolas; Nakajima, Hiraku; Wendlandt, Curtis

doi:10.1016/j.aim.2018.09.013

Coproduct for Yangians of affine Kac–Moody algebras

Jan 18, 2017

47 pages

Published in:

Adv.Math. 338 (2018) 865-911

Published: Nov 7, 2018

e-Print:

1701.05288 [math.QA]

DOI:

10.1016/j.aim.2018.09.013

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Abstract: (Elsevier)

Given an affine Kac–Moody algebra, we explain how to construct a coproduct on its associated Yangian. In order to prove that this coproduct is an algebra homomorphism, we obtain, in the first half of this paper, a minimalistic presentation of the Yangian when the Kac–Moody algebra is, more generally, symmetrizable.

Note:

38 pages

primary
17B37
secondary
17B67
Yangians
Kac–Moody algebras
Affine Lie algebras
Coproduct
Completions

References(47)

Figures(0)

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