Cohomological Hall algebras and affine quantum groups

DOI10.1007/s00029-017-0366-yzbMath1431.17012arXiv1604.01865OpenAlexW2963048136MaRDI QIDQ1744780

Gufang Zhao, Ya-ping Yang

Publication date: 19 April 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01865

zbMATH Keywords

quantum groupHall algebraDrinfeld doubleYangianshuffle algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Bordism and cobordism theories and formal group laws in algebraic topology (55N22)

Related Items (11)

Loop Grassmannians of Quivers and Affine Quantum Groups ⋮ Cohomological Hall algebras, vertex algebras and instantons ⋮ Framed cohomological Hall algebras and cohomological stable envelopes ⋮ Shuffle algebras for quivers and wheel conditions ⋮ Two-dimensional categorified Hall algebras ⋮ The PBW theorem for affine Yangians ⋮ The \(R\)-matrix presentation for the Yangian of a simple Lie algebra ⋮ How to sheafify an elliptic quantum group ⋮ Coproduct for Yangians of affine Kac-Moody algebras ⋮ On two cohomological Hall algebras ⋮ Vertex representations for Yangians of Kac-Moody algebras

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