Homology of Lie algebras of orthogonal and symplectic generalized Jacobi matrices

  • Alice Fialowski

    University of Pécs and Eötvös Loránd University, Budapest, Hungary
  • Kenji Iohara

    Université Claude Bernard Lyon 1, Villeurbanne, France
Homology of Lie algebras of orthogonal and symplectic generalized Jacobi matrices cover

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Abstract

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

Cite this article

Alice Fialowski, Kenji Iohara, Homology of Lie algebras of orthogonal and symplectic generalized Jacobi matrices. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 3, pp. 549–564

DOI 10.4171/RLM/904