Results 11 to 20 of about 124,317 (285)

Elementary Lie algebras and Lie A-algebras

Journal of Algebra, 2007
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Towers, David A., Varea, Vicente R.
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On dimension of Lie Algebras and nilpotent Lie algebras [PDF]

Mathematics and Computational Sciences, 2022
Schur proved that if the center of a group G has finite index, then the derived subgroup G′ is also finite. Moneyhun proved that if L is a Lie algebra such that dim(L/Z(L)) = n, then dim(L^2) ≤1/2n(n-1) In this paper, we extend the converse of Moneyhun’s
Homayoon Arabyani
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Anyonic lie algebras [PDF]

Czechoslovak Journal of Physics, 1997
We introduce anyonic Lie algebras in terms of structure constants. We provide the simplest examples and formulate some open problems.
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Classification of left invariant metrics on 4-dimensional solvable Lie groups [PDF]

Theoretical and Applied Mechanics, 2020
In this paper the complete classification of left invariant metrics of arbitrary signature on solvable Lie groups is given. By identifying the Lie algebra with the algebra of left invariant vector fields on the corresponding Lie group 𝐺, the ...
Šukilović Tijana
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Metric Lie 3-algebras in Bagger-Lambert theory [PDF]

, 2008
We recast physical properties of the Bagger-Lambert theory, such as shift-symmetry and decoupling of ghosts, the absence of scale and parity invariance, in Lie 3-algebraic terms, thus motivating the study of metric Lie 3-algebras and their Lie algebras ...
de Medeiros, Paul, Figueroa-O'Farrill, José, Méndez-Escobar, Elena   +2 more
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Differential algebraic Lie algebras [PDF]

Transactions of the American Mathematical Society, 1979
A class of infinite-dimensional Lie algebras over the field K \mathcal {K} of constants of a universal differential field U \mathcal {U} is studied. The simplest case, defined by homogeneous linear differential equations, is analyzed in detail, and those with underlying set
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Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras [PDF]

, 2010
In this paper we construct ternary $q$-Virasoro-Witt algebras which $q$-deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using $su(1,1)$ enveloping algebra techniques.
A Makhlouf, Arnlind J, Ataguema H, Awata H, Caenepeel S Goyvaerts I, Carlsson R, F Ammar, Filippov V T, Frégier Y Gohr A, Gohr A, Hartwig J T, Hoppe J, Hu N, Kerner R, Kerner R, Kerner R, Larsson D, Larsson D, Larsson T A, Liu K Q, Liu K Q, Makhlouf A, Makhlouf A, Makhlouf A, S Silvestrov, Yau D, Yau D, Yau D   +27 more
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COASSOCIATIVE LIE ALGEBRAS [PDF]

Glasgow Mathematical Journal, 2013
AbstractA coassociative Lie algebra is a Lie algebra equipped with a coassociative coalgebra structure satisfying a compatibility condition. The enveloping algebra of a coassociative Lie algebra can be viewed as a coalgebraic deformation of the usual universal enveloping algebra of a Lie algebra.
Wang, Ding-Guo, Zhang, James J., Zhuang, Guangbin   +2 more
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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, Balinskii, Benoist, Burde, Burde, Dekimpe, Dietrich Burde, Dijkgraaf, Frenkel, Gel’fand, Karel Dekimpe, Scheuneman, Segal, Semenov-Tian-Shansky, Zelmanov   +14 more
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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.
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