Remarks on Yangian-type algebras and double Poisson brackets

DOI10.1134/s0016266323040068arXiv2308.13325MaRDI QIDQ6124867

N. A. Safonkin, Grigori Olshanski

Publication date: 10 April 2024

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.13325

zbMATH Keywords

Yangianscentralizer constructionPoisson algebrasdouble Poisson brackets

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Homological methods in Lie (super)algebras (17B55) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Poisson algebras (17B63) Hopf algebras and their applications (16T05)

Cites Work

• Double Poisson cohomology of path algebras of quivers
• Double Poisson brackets on free associative algebras
• Double Poisson algebras
• The centralizer construction and Yangian-type algebras
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