Infinite-dimensional Hamiltonian Lie superalgebras
type: Item
instance of: scholarly article
title: Infinite-dimensional Hamiltonian Lie superalgebras
zbMATH Open document ID: 1271.17011
author: Qiang Mu
author: Yongzheng Zhang
published in: Science China. Mathematics
publication date: 2010-08-23T00:00:00Z
review text: For infinite-dimensional Hamiltonian Lie superalgebra \(H=H(m,n)\) over an algebraically closed field \(F\) of characteristic \(p>2\) it is proved that the standard maximal subalgebra \(H_0\) is invariant with respect to automorphisms of \(H\). The proof is based on the study of ad-nilpotent elements of \(H\) and subalgebras generated by ad-nilpotent elements.
reviewed by: Michael Kuznetsov
Mathematics Subject Classification ID: 17B50
Mathematics Subject Classification ID: 17B56
zbMATH DE Number: 5774150
zbMATH Keywords: Hamiltonian superalgebra
zbMATH Keywords: filtration
zbMATH Keywords: automorphism
MaRDI profile type: Publication
full work available at URL: s11425-010-3142-4
OpenAlex ID: W2111834784
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DOI: 10.1007/S11425-010-3142-4
description: scientific article; zbMATH DE number 5774150