Results 91 to 100 of about 39,911 (195)

2-recognizeable classes of Leibniz algebras

Journal of Algebra, 2015
We show that for fields that are of characteristic 0 or algebraically closed of characteristic greater than 5, that certain classes of Leibniz algebras are 2-recognizeable. These classes are solvable, strongly solvable and super solvable. These results hold in Lie algebras and in general for groups.
Tiffany Burch, Meredith Harris, Allison McAlister, Elyse Rogers, Ernie Stitzinger, S. McKay Sullivan   +5 more
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The Leibniz algebras whose subalgebras are ideals

Open Mathematics, 2017
In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.
Kurdachenko Leonid A., Semko Nikolai N., Subbotin Igor Ya.   +2 more
doaj   +1 more source

q-Leibniz Algebras

, 2008
2000 Mathematics Subject Classification: Primary 17A32, Secondary 17D25. An algebra (A,ο) is called Leibniz if aο(bοc) = (a ο b)ο c-(a ο c) ο b for all a,b,c ∈ A. We study identities for the algebras A(q) = (A,οq), where a οq b = a ο b+q b ο a is the q-commutator. Let Char K ≠ 2,3. We show that the class of q-Leibniz algebras is defined by one identity
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ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS [PDF]

Bulletin of the Australian Mathematical Society, 2011
AbstractA Lie algebra over a field of characteristic 0 splits over its soluble radical and all complements are conjugate. I show that the splitting theorem extends to Leibniz algebras but that the conjugacy theorem does not.
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Generalised kinematics for double field theory

Journal of High Energy Physics, 2017
We formulate a kinematical extension of Double Field Theory on a 2d-dimensional para-Hermitian manifold Pηω $$ \left(\mathcal{P},\eta, \omega \right) $$ where the O(d, d) metric η is supplemented by an almost symplectic two-form ω.
Laurent Freidel, Felix J. Rudolph, David Svoboda   +2 more
doaj   +1 more source

Pre-Leibniz algebras

Communications in Algebra
The notion of pre-Leibniz algebras was recently introduced in the study of Rota-Baxter operators on Leibniz algebras. In this paper, we first construct a graded Lie algebra whose Maurer-Cartan elements are pre-Leibniz algebras. Using this characterization, we define the cohomology of a pre-Leibniz algebra with coefficients in a representation.
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The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one

Forum of Mathematics, Sigma
The Manin–Peyre conjecture is established for a class of smooth spherical Fano varieties of semisimple rank one. This includes all smooth spherical Fano threefolds of type T as well as some higher-dimensional smooth spherical Fano varieties.
Valentin Blomer, Jörg Brüdern, Ulrich Derenthal, Giuliano Gagliardi   +3 more
doaj   +1 more source

Topics on n-ary Algebraic Structures

Acta Polytechnica, 2010
We review the basic definitions and properties of two types of n-ary structures, the Generalized Lie Algebras (GLA) and the Filippov (≡ n-Lie) algebras (FA), as well as those of their Poisson counterparts, the Generalized Poisson (GPS) and Nambu-Poisson (
J. A. de Azcárraga, J. M. Izquierdo
doaj  

Notes on Leibniz n-algebras

Journal of Geometry and Physics
Xunta de Galicia | Ref.
José Manuel Casas, Emzar Khmaladze, Manuel Ladra   +2 more
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Companion Lie Algebras of Leibniz Algebras

, 2015
10 ...
McAlister, Allison, Stitzinger, Ernie, White, Ashley   +2 more
openaire   +2 more sources