Coproduct for the Yangian of an affine Kac-Moody algebra
arXiv:1701.05288 · doi:10.1016/j.aim.2018.09.013
Abstract
Given an affine Kac-Moody algebra, we explain how to construct a coproduct for 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.
38 pages
References in corpus (1)
Cited by in corpus (36)
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- Quantum toroidal algebras and solvable structures in gauge/string theory
- Screening operators and Parabolic inductions for Affine W-algebras (with an appendix by Shigenori Nakatsuka)
- Rational Lax matrices from antidominantly shifted extended Yangians: BCD types
- A Note on Quiver Yangians and -Matrices
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- Vertex Representations for Yangians of Kac-Moody algebras
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- More on Affine Dynkin Quiver Yangians
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- Poles of finite-dimensional representations of Yangians
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- Quantum N-toroidal algebras and extended quantized GIM algebras of N-fold affinization
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- Towards the theory of Yangians
- Double affine Grassmannians and Coulomb branches of 3d N=4 quiver gauge theories
- Theta series for quantum loop algebras and Yangians
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- Braid group actions, Baxter polynomials, and affine quantum groups
- On category for affine Grassmannian slices and categorified tensor products
- An Overview of Crystals and Double Quiver Yangians
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- The PBW theorem for the affine Yangians
- The restricted quantum double of the Yangian
- Weyl Mutations in Quiver Yangians
- Twisted Affine Yangian and Rectangular -algebra of type
- Yangians vs minimal W-algebras: a surprizing coincidence