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## Banach Center Publications

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## On Lie algebras of generalized Jacobi matrices

### Volume 123 / 2021

Banach Center Publications 123 (2021), 175-186 MSC: Primary 17B65, 16S35; Secondary 16E40. DOI: 10.4064/bc123-7

#### Abstract

In these lecture notes, we consider infinite dimensional Lie algebras of generalized Jacobi matrices $\mathfrak g J(k)$ and $\mathfrak {gl}_\infty (k)$, which are important in soliton theory, and their orthogonal and symplectic subalgebras. In particular, we construct the homology ring of the Lie algebra $\mathfrak g J(k)$ and of the orthogonal and symplectic subalgebras.

#### Authors

• Alice FialowskiUniversity of Pécs and Eötvös Loránd University
Budapest, Hungary
e-mail
e-mail
• Kenji IoharaUniv Lyon, Université Claude Bernard Lyon 1
CNRS UMR 5208, Institut Camille Jordan
F-69622 Villeurbanne, France
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