Results 11 to 20 of about 2,869,100 (185)

Braided Lie bialgebras associated to Kac-Moody algebras [PDF]

, 2008
Braided-Lie bialgebras have been introduced by Majid, as the Lie versions of Hopf algebras in braided categories. In this paper we extend previous work of Majid and of ours to show that there is a braided-Lie bialgebra associated to each inclusion of Kac-
Grabowski, Jan
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Two Generator Subalgebras Of Lie Algebras. [PDF]

, 2007
In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Bowman, Kevin, Varea, Vicente R., Towers, David A.   +2 more
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Inductive constructions for Lie bialgebras and Hopf algebras [PDF]

, 2006
PhDIn recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Bopf algebras, including the quantized enveloping algebras.
Grabowski, Jan E.
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Elementary Lie Algebras and Lie A-Algebras. [PDF]

, 2007
A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
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Generalizing the $$\mathfrak {bms}_{3}$$ bms3 and 2D-conformal algebras by expanding the Virasoro algebra

European Physical Journal C: Particles and Fields, 2018
By means of the Lie algebra expansion method, the centrally extended conformal algebra in two dimensions and the $$\mathfrak {bms}_{3}$$ bms3 algebra are obtained from the Virasoro algebra.
Ricardo Caroca, Patrick Concha, Evelyn Rodríguez, Patricio Salgado-Rebolledo   +3 more
doaj   +1 more source

Higher-dimensional automorphic lie algebras [PDF]

, 2016
The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Sanders, Jan, Sara Lombardo (4425862), Knibbeler, Vincent; id_orcid, Sara Lombardo, Jan A. Sanders, Knibbeler, Vincent, Vincent Knibbeler (4742670), Jan A Sanders (8467083), Lombardo, Sara, Sanders, Jan A., Lombardo, Sara; id_orcid, Vincent Knibbeler   +11 more
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Reviving 3D N $$ \mathcal{N} $$ = 8 superconformal field theories

Journal of High Energy Physics, 2019
We present a Lagrangian formulation for N $$ \mathcal{N} $$ = 8 superconformal field theories in three spacetime dimensions that is general enough to encompass infinite-dimensional gauge algebras that generally go beyond Lie algebras.
Olaf Hohm, Henning Samtleben
doaj   +1 more source

Almost nilpotent Lie algebras [PDF]

, 1987
Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
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Automorphisms of real Lie algebras of dimension five or less [PDF]

, 2013
The Lie algebra version of the Krull-Schmidt Theorem is formulated and proved. This leads to a method for constructing the automorphisms of a direct sum of Lie algebras from the automorphisms of its indecomposable components.
Gray, RJ, Hydon, PE, Fisher, DJ, Gray, Robert J., Hydon, Peter E., Peter E Hydon, David J Fisher, Robert J Gray, Fisher, David J.   +8 more
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Can Yang-Baxter imply Lie algebra?

Physics Letters B
Quantum knot invariants (like colored HOMFLY-PT or Kauffman polynomials) are a distinguished class of non-perturbative topological invariants. Any known way to construct them (via Chern-Simons theory or quantum R-matrix) starts with a finite simple Lie ...
D. Khudoteplov, A. Morozov, A. Sleptsov
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