Results 1 to 10 of about 270 (143)

A note on $2$-plectic vector spaces [PDF]

Journal of Mahani Mathematical Research, 2023
Among the $2$-plectic structures on vector spaces, the canonical ones and the $2$-plectic structures induced by the Killing form on semisimple Lie algebras are more interesting.
Mohammad Shafiee
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On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras

Доповiдi Нацiональної академiї наук України, 2021
The subalgebra A of a Leibniz algebra L is self-idealizing in L, if A = IL (A) . In this paper we study the structure of Leibniz algebras, whose subalgebras are either ideals or self-idealizing.
L.A. Kurdachenko, A.A. Pypka, I.Ya. Subbotin   +2 more
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Identifying the group-theoretic structure of machine-learned symmetries

Physics Letters B, 2023
Deep learning was recently successfully used in deriving symmetry transformations that preserve important physics quantities. Being completely agnostic, these techniques postpone the identification of the discovered symmetries to a later stage.
Roy T. Forestano, Konstantin T. Matchev, Katia Matcheva, Alexander Roman, Eyup B. Unlu, Sarunas Verner   +5 more
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Deforming soft algebras for gauge theory

Journal of High Energy Physics, 2023
Symmetry algebras deriving from towers of soft theorems can be deformed by a short list of higher-dimension Wilsonian corrections to the effective action.
Walker Melton, Sruthi A. Narayanan, Andrew Strominger   +2 more
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Maximal abelian subalgebras of pseudoorthogonal lie algebras

Linear Algebra and its Applications, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hussin, V., Winternitz, P., Zassenhaus, H.   +2 more
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Methods of group theory in Leibniz algebras: some compelling results

Researches in Mathematics, 2021
The theory of Leibniz algebras has been developing quite intensively. Most of the results on the structural features of Leibniz algebras were obtained for finite-dimensional algebras and many of them over fields of characteristic zero.
I.Ya. Subbotin
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Poisson-Lie U-duality in exceptional field theory

Journal of High Energy Physics, 2020
Poisson-Lie duality provides an algebraic extension of conventional Abelian and non-Abelian target space dualities of string theory and has seen recent applications in constructing quantum group deformations of holography.
Emanuel Malek, Daniel C. Thompson
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Complex symplectic Lie algebras with large Abelian subalgebras

Linear Algebra and its Applications, 2023
We present two constructions of complex symplectic structures on Lie algebras with large abelian ideals. In particular, we completely classify complex symplectic structures on almost abelian Lie algebras. By considering compact quotients of their corresponding connected, simply connected Lie groups we obtain many examples of complex symplectic ...
Bazzoni G., Freibert M., Latorre A., Tardini N.   +3 more
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A Note on Finite Dimensional Odd Contact Lie Superalgebra in Prime Characteristic

Axioms, 2023
Over a field of characteristic p>3, let KO(n,n+1;t̲) denote the odd contact Lie superalgebra. In this paper, the super-biderivations of odd Contact Lie superalgebra KO(n,n+1;t̲) are studied.
Xiaoning Xu, Qiyuan Wang
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Computing abelian subalgebras for linear algebras of upper-triangular matrices from an algorithmic perspective

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, the maximal abelian dimension is algorithmically and computationally studied for the Lie algebra hn, of n×n upper-triangular matrices. More concretely, we define an algorithm to compute abelian subalgebras of hn besides programming its ...
Ceballos Manuel, Núñez Juan, Tenorio Ángel F.   +2 more
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