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Regular decompositions of finite root systems and simple Lie algebras

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Publication:6667414
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DOI10.1016/J.JALGEBRA.2024.10.037MaRDI QIDQ6667414

Stepan Maximov

Publication date: 20 January 2025

Published in: Journal of Algebra (Search for Journal in Brave)




zbMATH Keywords

root systemsimple Lie algebraregular subalgebraLie algebra decomposition


Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17Bxx) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx) Lie groups (22Exx)


Cites Work

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  • Integrable quantum spin chains, non-skew symmetric \(r\)-matrices and quasigraded Lie algebras
  • Poisson Structures
  • On Closed Subsets of Root Systems
  • Quantum groups
  • One more kind of the classical Yang-Baxter equation
  • Topological Manin pairs and \((n,s)\)-type series
  • [[Publication:6143298|Topological Lie bialgebras, Manin triples and their classification over \(gx\)]]







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