منابع مشابه
Forum Mathematicum Leibniz N-algebras
A Leibniz n-algebra is a vector space equipped with an n-ary operation which has the property of being a derivation for itself. This property is crucial in Nambu mechanics. For n 2 this is the notion of Leibniz algebra. In this paper we prove that the free Leibniz n 1algebra can be described in terms of the n-magma, that is the set of n-ary planar trees. Then it is shown that the n-tensor ...
متن کاملCARTAN SUBALGEBRAS OF LEIBNIZ n-ALGEBRAS
The present paper is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz n-algebras. The relationship between Cartan subalgebras and regular elements of given Leibniz n-algebra and Cartan subalgebras and regular elements of the corresponding factor n-Lie algebra is established. 1 Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-...
متن کاملON THE DESCRIPTION OF LEIBNIZ SUPERALGEBRAS OF NILINDEX n+m
In this work we investigate the complex Leibniz superalgebras with characteristic sequence (n1, . . . , nk|m) and nilindex n + m, where n = n1 + · · ·+nk, n and m (m 6= 0) are dimensions of even and odd parts, respectively. Such superalgebras with condition n1 ≥ n − 1 were classified in [4]–[5]. Here we prove that in the case n1 ≤ n − 2 the Leibniz superalgebras have nilindex less than n + m. T...
متن کاملLeibniz and the Infinite
The German universal genius Gottfried Wilhelm Leibniz was born in Leipzig on the 21st of June according to the Julian calendar (on the 1st of July according to the Gregorian calendar) 1646. From 1661 he studied at the universities of Leipzig and Jena. On February 22, 1667 he became Doctor of Laws at the university of Nürnberg-Altdorf. He declined the professorship that was offered to him at thi...
متن کاملOn Complex Nilpotent Leibniz Superalgebras of Nilindex N+m
We present the description up to isomorphism of Leibniz superalgebras with characteristic sequence (n|m1, . . . , mk) and nilindex n+m, where m = m1 + · · ·+ mk, n and m (m 6= 0) are dimensions of even and odd parts, respectively. Mathematics Subject Classification 2000: 17A32, 17B30.
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ژورنال
عنوان ژورنال: Phenomenological Reviews
سال: 2015
ISSN: 2297-7627
DOI: 10.19079/pr.2015.12.laa