Homology of Lie Algebras of Orthogonal and Symplectic Generalized Jacobi Matrices

Abstract

In this note, we compute the homology with trivial coefficients of Lie algebras of generalized Jacobi matrices of type $B,C$ and $D$ over an associative unital $k$-algebra with $k$ being a field of characteristic $0$.

arXiv commentTo appear in Atti. Acad. Naz. Lincei Rend. Lincei Mat. Appl