Leibniz homology of unitary Lie algebras
type: Item
instance of: scholarly article
title: Leibniz homology of unitary Lie algebras
zbMATH Open document ID: 0944.17001
DOI: 10.1016/S0022-4049(98)00018-8
author: Yun Gao
published in: Journal of Pure and Applied Algebra
publication date: 2000-05-02T00:00:00Z
review text: The author studies the second Leibniz homology group \(HL_2\) of the elementary unitary Lie algebras \(en_n(R,-,\gamma)\) and \(eu(\dot{g};R,-)\), where \((R,-)\) is an associative involutive algebra and \(\dot{g}\) a finite dimensional split Lie algebra. Then some consequences are derived. In particular, the result due to \textit{J.-L. Loday} and \textit{T. Pirashvili} [Math. Ann. 296, 139-158 (1993; Zbl 0821.17022)] on \(HL_2\) of the Lie algebras \(sl_n(S)\) and \(st_n(S)\), where \(S\) is an associative algebra, is recovered.
Mathematics Subject Classification ID: 17A32
Mathematics Subject Classification ID: 17B55
zbMATH DE Number: 1330824
zbMATH Keywords: elementary unitary Lie algebra
zbMATH Keywords: involutive algebra
zbMATH Keywords: Leibniz homology
zbMATH Keywords: Steinberg Lie algebra
reviewed by: Marek Golasiński
Wikidata QID: Q115340067
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1330824