Results 171 to 180 of about 40,026 (194)
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2004
Leibniz algebras are possible non-(anti)commutative analogs of Lie algebras. These algebras have appeared in [55] under the name “D-algebras”. In [221, 222, 223] J.-L. Loday and T. Pirashvili studied these analogs from the point of view of homological algebra.
Alexander A. Mikhalev +2 more
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Leibniz algebras are possible non-(anti)commutative analogs of Lie algebras. These algebras have appeared in [55] under the name “D-algebras”. In [221, 222, 223] J.-L. Loday and T. Pirashvili studied these analogs from the point of view of homological algebra.
Alexander A. Mikhalev +2 more
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On some “minimal” Leibniz algebras
Journal of Algebra and Its Applications, 2017The aim of this paper is to describe some “minimal” Leibniz algebras, that are the Leibniz algebras whose proper subalgebras are Lie algebras, and the Leibniz algebras whose proper subalgebras are abelian.
Chupordia, V. A. +2 more
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Mathematical Notes
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2014
Left (or right) Leibniz algebras endowed with symmetric non-degenerate and associative bilinear forms (called quadratic Leibniz algebras) are investigated. In particular, we prove that left (resp. right) Leibniz algebras that carry this structure are also right (resp. left) Leibniz algebras.
Benayadi, Saïd, Hidri, Samiha
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Left (or right) Leibniz algebras endowed with symmetric non-degenerate and associative bilinear forms (called quadratic Leibniz algebras) are investigated. In particular, we prove that left (resp. right) Leibniz algebras that carry this structure are also right (resp. left) Leibniz algebras.
Benayadi, Saïd, Hidri, Samiha
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1998
This work is devoted to study of comparatively new algebraic object - Leibniz algebras, introduced by Loday [1], as a “non commutative” analogue of Lie algebras.
Sh. A. Ayupov, B. A. Omirov
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This work is devoted to study of comparatively new algebraic object - Leibniz algebras, introduced by Loday [1], as a “non commutative” analogue of Lie algebras.
Sh. A. Ayupov, B. A. Omirov
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Leibniz and Lie Algebra Structures for Nambu Algebra
Letters in Mathematical Physics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daletskii, Yuri L., Takhtajan, Leon A.
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ON REPRESENTATIONS OF SYMMETRIC LEIBNIZ ALGEBRAS
Glasgow Mathematical Journal, 2019AbstractWe give a new and useful approach to study the representations of symmetric Leibniz algebras. Using this approach, we obtain some results on the representations of these algebras.
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On the subalgebra lattice of a Leibniz algebra
Communications in Algebra, 2022Salvatore Siciliano, David A Towers
exaly
On classification of four-dimensional nilpotent Leibniz algebras
Communications in Algebra, 2017Kailash Misra, Kailash C Misra
exaly