Quantizations of Lie bialgebras, duality involution and oriented graph complexes

DOI10.1007/s11005-022-01505-6OpenAlexW3206121778MaRDI QIDQ2114538

Sergey A. Merkulov, Marko Živković

Publication date: 15 March 2022

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.08792

zbMATH Keywords

deformation quantizationLie bialgebrasgraph complexes

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lie bialgebras; Lie coalgebras (17B62) Graph complexes and graph homology (18G85)

Cites Work

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• On some unsolved problems in quantum group theory
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• Classification of universal formality maps for quantizations of Lie bialgebras
• Multi-directed graph complexes and quasi-isomorphisms between them I: oriented graphs
• Deformation theory of Lie bialgebra properads

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