Results 21 to 30 of about 124,917 (284)
Embedding of a Lie algebra into Lie-admissible algebras [PDF]
Proceedings of the American Mathematical Society, 1979 Let A be a flexible Lie-admissible algebra over a field of characteristic ≠ \ne 2, 3. Let S be a finite-dimensional classical Lie subalgebra of A − {A^ - } which is complemented by an ideal R of A − {A^ - } .
openaire +2 more sources
An atavistic Lie algebra [PDF]
Physics Letters B, 2006 An infinite-dimensional Lie Algebra is proposed which includes, in its subalgebras and limits, most Lie Algebras routinely utilized in physics. It relies on the finite oscillator Lie group, and appears applicable to twisted noncommutative QFT and CFT.
Fairlie, D. B., Zachos, C. K.
openaire +4 more sources
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 +2 more
doaj +1 more source
LIE ALGEBRA PREDERIVATIONS AND STRONGLY NILPOTENT LIE ALGEBRAS [PDF]
Communications in Algebra, 2002 We study Lie algebra prederivations. A Lie algebra admitting a non-singular prederivation is nilpotent. We classify filiform Lie algebras admitting a non-singular prederivation but no non-singular derivation. We prove that any 4-step nilpotent Lie algebra admits a non-singular prederivation.
openaire +3 more sources
Advances in Mathematics, 1984 In 1979, \textit{J. H. Conway} and \textit{S. P. Norton} [Bull. Lond. Math. Soc. 11, 308--339 (1979; Zbl 0424.20010)] conjectured that the existence of the Fischer-Griess ''monster'' or ''friendly giant'' finite simple group \(M\) might be explained by some infinite-dimensional Lie algebra \(L\).
Borcherds, R.E +3 more
openaire +1 more source
Novikov structures on solvable Lie algebras [PDF]
, 2005 We study Novikov algebras and Novikov structures on finite-dimensional Lie algebras. We show that a Lie algebra admitting a Novikov structure must be solvable.
Bakalov +14 more
core +2 more sources
Archiv der MathematikAbstract In this paper, we investigate the problem of which Lie algebras appear as the derived algebra of a Lie algebra. We present new results that further develop this study and address two questions raised in a paper concerned with the corresponding problem for groups.
Salvatore Siciliano, David A. Towers
openaire +2 more sources
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
doaj +1 more source
New Applications of Graded Lie Algebras to Lie Algebras, Generalized Lie Algebras, and Cohomology
Journal of Lie Theory, 2007 We give new applications of graded Lie algebras to: identities of standard polynomials, deformation theory of quadratic Lie algebras, cyclic cohomology of quadratic Lie algebras, $2k$-Lie algebras, generalized Poisson brackets and so on.
Pinczon, Georges, Ushirobira, Rosane
openaire +4 more sources
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 +2 more
core +1 more source