K-theoretic Hall algebras, quantum groups and super quantum groups

DOI10.1007/s00029-021-00723-5OpenAlexW3211827037MaRDI QIDQ2056172

Michela Varagnolo, Eric Vasserot

Publication date: 1 December 2021

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

Full work available at URL: https://arxiv.org/abs/2011.01203

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) (K)-theory of schemes (19E08) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) (14A30)

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Schur-Weyl duality for quantum toroidal superalgebras, New quiver-like varieties and Lie superalgebras, McKay correspondence, cohomological Hall algebras and categorification, Categorical and K-theoretic Donaldson–Thomas theory of (part II), The trace of the affine Hecke category, SHUFFLE ALGEBRAS FOR QUIVERS AND R-MATRICES, CATEGORICAL AND K-THEORETIC HALL ALGEBRAS FOR QUIVERS WITH POTENTIAL, Shuffle algebras for quivers and wheel conditions, Generators for K-theoretic Hall algebras of quivers with potential, Quantum loop groups and shuffle algebras via Lyndon words, Generators for Hall algebras of surfaces, Generators for Hall algebras of surfaces, Coproduct for affine Yangians and parabolic induction for rectangular \(W\)-algebras, Coherent categorification of quantum loop algebras: the \(\operatorname{SL}(2)\) case

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