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The PBW theorem for affine Yangians

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Publication:2210578
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DOI10.1007/s00031-020-09572-6OpenAlexW3026697111MaRDI QIDQ2210578

Gufang Zhao, Ya-ping Yang

Publication date: 7 November 2020

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04375


Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Ring-theoretic aspects of quantum groups (16T20)


Related Items

Cohomological Hall algebras and affine quantum groups



Cites Work

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  • Affine Yangians and deformed double current algebras in type \(A\)
  • Cohomological Hall algebras and affine quantum groups
  • Coproduct for Yangians of affine Kac-Moody algebras
  • The elliptic Hall algebra and the \(K\)-theory of the Hilbert scheme of \(\mathbb{A}^{2}\)
  • Yangians and quantum loop algebras
  • How to sheafify an elliptic quantum group
  • Vertex representations for Yangians of Kac-Moody algebras
  • Meromorphic tensor equivalence for Yangians and quantum loop algebras
  • Yangians, quantum loop algebras, and abelian difference equations
  • The cohomological Hall algebra of a preprojective algebra
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