Results 21 to 30 of about 168,726 (280)
On the existence of orthonormal geodesic bases for Lie algebras [PDF]
, 2013 We show that every unimodular Lie algebra, of dimension at most 4, equipped with an inner product, possesses an orthonormal basis comprised of geodesic elements.
Cairns, Grant +3 more
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Lie Algebra Representations of Dimension p - 1 [PDF]
Proceedings of the American Mathematical Society, 1973 A semisimple Lie algebra over an algebraically closed field of characteristic p > 2 p > 2 admitting a faithful representation of dimension p − 1 p - 1 is either a direct sum of classical algebras or the Witt algebra.
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Complex filiform Lie algebras of dimension 11
Applied Mathematics and Computation, 2003 In this paper we give the explicit classification of complex filiform Lie algebras of dimension 11. To do this, we use a method previously obtained by us in an earlier paper, which is based on the concept of isomorphism between Lie algebras. At present, this explicit classification is not known, although Gomez, Jim enez and Khakimdjanov gave a list of ...
Boza Prieto, Luis +2 more
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Lie algebra representations of dimension <𝑝² [PDF]
Transactions of the American Mathematical Society, 1990 Various methods of representation theory of modular Lie algebras are improved. As an application the structure of the Lie algebras having a faithful irreducible module of dimension > p 2 > {p^2} is determined.
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Deformations of Yang-Baxter operators via n-Lie algebra cohomology
Nuclear Physics B, 2023 We introduce a cohomology theory of n-ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations.
Mohamed Elhamdadi, Emanuele Zappala
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A note on the Schur multiplier of a nilpotent Lie algebra [PDF]
, 2010 For a nilpotent Lie algebra $L$ of dimension $n$ and dim$(L^2)=m$, we find the upper bound dim$(M(L))\leq {1/2}(n+m-2)(n-m-1)+1$, where $M(L)$ denotes the Schur multiplier of $L$.
Francesco G. Russo +5 more
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3-filiform Lie algebras of dimension 8 [PDF]
Annales mathématiques Blaise Pascal, 1999 Junta de Andalucía FQM ...
Camacho Santana, Luisa María +2 more
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Quasi-Associative Algebras on the Frobenius Lie Algebra M_3 (R)⊕gl_3 (R)
Al-Jabar, 2021 In this paper, we study the quasi-associative algebra property for the real Frobenius Lie algebra of dimension 18. The work aims to prove that is a quasi-associative algebra and to compute its formulas explicitly.
Henti Henti, Edi Kurniadi, Ema Carnia
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Degenerations to filiform Lie algebras of dimension 9 [PDF]
Communications in Algebra, 2021 For most complex 9-dimensional filiform Lie algebra we find another non isomorphic Lie algebra that degenerates to it. Since this is already known for nilpotent Lie algebras of rank $\geq 1$, only the characteristically nilpotent ones should be considered.
Herrera Granada, Joan Felipe +2 more
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Relative homological algebra and homological dimen- sion of Lie algebras [PDF]
Transactions of the American Mathematical Society, 1965 Introduction. The main problem we shall consider concerns the various kinds of homological dimension that can be attached to a ring or to a pair consisting of a ring and a subring. We begin by investigating the functorial behavior of the relative Tor and Ext functors for pairs of rings R v S under a ring epimorphism R R/I.
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