Homology of Lie algebras of orthogonal and symplectic generalized Jacobi matrices

DOI10.4171/RLM/904zbMath1486.17038arXiv1801.00624OpenAlexW3096304952MaRDI QIDQ2658504

Kenji Iohara, Alice Fialowski

Publication date: 23 March 2021

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.00624

zbMATH Keywords

invariant theoryinfinite-dimensional Lie algebrasLie algebra homologydihedral homology

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Infinite-dimensional Lie (super)algebras (17B65) Homological methods in Lie (super)algebras (17B55)

Related Items (3)

Lie algebra of column-finite infinite matrices: ideals and derivations ⋮ Homology of the Lie algebra gl(\infty, R) ⋮ On Lie algebras of generalized Jacobi matrices

Cites Work

• Unnamed Item
• Homologies diédrale et quaternionique. (Dihedral and quaternionic homology)
• Homology of symplectic and orthogonal algebras
• Solitons and infinite dimensional Lie algebras
• Cohomologies of Lie algebras of generalized Jacobi matrices
• Cyclic homology and the Lie algebra homology of matrices
• The invariant theory of \(n\times n\) matrices
• On the structure of Hopf algebras
• Rational homotopy theory

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