Results 21 to 30 of about 124,317 (285)

Lifshitz symmetry: Lie algebras, spacetimes and particles

SciPost Physics, 2023
We study and classify Lie algebras, homogeneous spacetimes and coadjoint orbits (``particles'') of Lie groups generated by spatial rotations, temporal and spatial translations and an additional scalar generator.
José Figueroa-O'Farrill, Ross Grassie, Stefan Prohazka
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Elementary Lie Algebras [PDF]

Journal of the London Mathematical Society, 1973
Let \(L\) be a finite dimensional Lie algebra over a field. The Frattini subalgebra, \(F(L)\), of \(L\) is the intersection of the maximal subalgebras of \(L\); the Frattini ideal, \(\varphi(L)\), of \(L\) is then the largest ideal of \(L\) contained in \(F(L)\).
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Quasiclassical Lie Algebras

Journal of Algebra, 2001
The authors consider associative algebras with involution. Denote by \(*\) the fixed involution of an associative algebra \(A\) over an algebraically closed field \(\mathbb{F}\) of characteristic zero and denote by \({\mathfrak u}^*(A)\) the vector space of skew-symmetric elements of \(A\) (i.e. \({\mathfrak u}^*(A)=\{a\in A\mid a^*=-a\}\)).
Baranov, AA, Zalesskii, AE
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Naturally Graded 2-Filiform Leibniz Algebras [PDF]

, 2010
The Leibniz algebras appear as a generalization of the Lie algebras [8]. The classification of naturally graded p-filiform Lie algebras is known [3], [4], [5], [9]. In this work we deal with the classification of 2-filiform Leibniz algebras. The study
Camacho Santana, Luisa María, González, A.J., Gómez Martín, José Ramón, Omirov, Bakhrom Abdazovich   +3 more
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Lie Algebra Multiplicities [PDF]

Proceedings of the American Mathematical Society, 1979
Exact formulas for root space multiplicities in Cartan matrix Lie algebras and their universal enveloping algebras are computed. We go on to determine the number of free generators of each degree of the radicals defining these algebras.
Berman, Stephen, Moody, Robert V.
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Interest Rate Based on The Lie Group SO(3) in the Evidence of Chaos

Mathematics, 2022
This paper aims to test the structure of interest rates during the period from 1 September 1981 to 28 December 2020 by using Lie algebras and groups. The selected period experienced substantial events impacting interest rates, such as the economic crisis,
Melike Bildirici, Yasemen Ucan, Sérgio Lousada   +2 more
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Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2 [PDF]

, 2014
Let M(n) be the class of all multiloop algebras of finite dimensional simple Lie algebras relative to n-tuples of commuting finite order automorphisms.
Allison, Bruce, Berman, Stephen, Pianzola, Arturo   +2 more
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Finitary Lie algebras

Journal of Algebra, 2002
A Lie algebra is called finitary if it consists of finite-rank linear transformations of a vector space. The authors classify all infinite-dimensional finitary simple Lie algebras over an algebraically closed field of characteristic not 2 or 3. They also do the same for finitary irreducible Lie algebras.
Baranov, A.A., Strade, H.
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The classification of three-dimensional Lie algebras on complex field

Дифференциальная геометрия многообразий фигур, 2021
In this paper, we study the classification of three-dimensional Lie al­gebras over a field of complex numbers up to isomorphism. The proposed classification is based on the consideration of objects invariant with re­spect to isomorphism, namely such ...
E.R. Shamardina
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Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5

Jambura Journal of Mathematics
In this research, we studied quasi-Frobenius Lie algebras and filiform Lie algebras of dimensions ≤ 5 over real field. The primary objective of this research is to classify the classification of filiform Lie algebras of dimensions ≤ 5 into quasi ...
Putri Nisa Pratiwi, Edi Kurniadi, Firdaniza Firdaniza   +2 more
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