Results 31 to 40 of about 246,696 (68)

On upper modular subalgebras of a Lie algebra. [PDF]

, 2004
This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. We give some necessary and some sufficient conditions for a subalgebra to be upper modular.
Bowman, Kevin, Varea, Vicente R., Towers, David A.   +2 more
core   +2 more sources

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
core   +2 more sources

Solvable complemented Lie algebras. [PDF]

, 2012
In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
core   +2 more sources

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
core   +1 more source

Invariant cones in solvable Lie algebras [PDF]

, 1992
Poguntke D. Invariant cones in solvable Lie algebras. Mathematische Zeitschrift.
Poguntke, Detlev
core   +1 more source

Cohomology of Lie coalgebras [PDF]

A Koszul duality-type correspondence between coderived categories of conilpotent differential graded Lie coalgebras and their Chevalley–Eilenberg differential graded algebras is established.
Chuang, J., Tang, R., Lazarev, A., Sheng, Y.   +3 more
core   +3 more sources

Lie 2-algebra models [PDF]

, 2014
In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid, Christian Sämann, Ritter, Patricia, Patricia Ritter   +3 more
core   +1 more source

Elemi Lie Elmélet

, 2011
A Lie elmélet, a Lie-csoportok és Lie-algebrák elmélete, valamint azok alkalmazásai, a matematika egy alapvető része. A második világháború óta nagyon sok kutatás zajlott a matematika ezen területén. Azóta kiderült, hogy a Lie elmélet számos területet,
Luci, Andrea
core  

Invariants of automorphic lie algebras [PDF]

Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s [35] in the field of integrable systems. They are subalgebras of Lie algebras over a ring of rational functions, denied by invariance under the action of a ...
Knibbeler, Vincent
core  

On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]

, 2004
The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Bowman, Kevin, Varea, Vicente R., Towers, David A.   +2 more
core   +1 more source