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n-Dimensional filiform Leibniz algebras of length (n-1) and their derivations

Sergio AlbeverioInstitut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-53115 Bonn, GermanySh. A. AyupovInstitute of Mathematics, Uzbekistan Academy of Science, F. Hodjaev str. 29, 100125 Tashkent, UzbekistanB. A. OmirovInstitute of Mathematics, Uzbekistan Academy of Science, F. Hodjaev str. 29, 100125 Tashkent, UzbekistanAbror KhudoyberdiyevDepartment of Mathematics , National University of Uzbekistan , Vuzgorogok, 27, 100174, Tashkent , Uzbekistan
ArXiv.orgrepository2007en
ABI

Abstract

In this work $n$-dimensional filiform Leibniz algebras admitting a gradation of length $(n-1)$ are classified. Derivations of such algebras are also described.

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