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.
