Invariant convex sets and functions in Lie algebras.

K.H. Neeb

Displaying similar documents to “Invariant convex sets and functions in Lie algebras.”

Invariant cones in Lie algebras.

Karl H. Hofmann, Joachim Hilgert (1988)

Semigroup forum

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Lie semialgebras in reductive Lie algebras.

A. Eggert (1990)

Semigroup forum

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Invariant orders in simply connected Lie groups.

Gichev, Victor M. (1995)

Journal of Lie Theory

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Non-overlapping control systems on Lie groups.

Y. Chae, Y. Lim (1994)

Semigroup forum

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Reductions and conservation laws for BBM and modified BBM equations

Maryam Khorshidi, Mehdi Nadjafikhah, Hossein Jafari, Maysaa Al Qurashi (2016)

Open Mathematics

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In this paper, the classical Lie theory is applied to study the Benjamin-Bona-Mahony (BBM) and modified Benjamin-Bona-Mahony equations (MBBM) to obtain their symmetries, invariant solutions, symmetry reductions and differential invariants. By observation of the the adjoint representation of Mentioned symmetry groups on their Lie algebras, we find the primary classification (optimal system) of their group-invariant solutions which provides new exact solutions to BBM and MBBM equations....

Computations in finite-dimensional Lie algebras.

Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

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The classification of Lie algebras with invariant cones.

Neeb, Karl-Hermann (1994)

Journal of Lie Theory

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The construction of 3-Lie 2-algebras

Chunyue Wang, Qingcheng Zhang (2018)

Czechoslovak Mathematical Journal

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We construct a 3-Lie 2-algebra from a 3-Leibniz algebra and a Rota-Baxter 3-Lie algebra. Moreover, we give some examples of 3-Leibniz algebras.

Invariant orders in Lie groups

Neeb, Karl-Hermann

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[For the entire collection see Zbl 0742.00067.]The author formulates several theorems about invariant orders in Lie groups (without proofs). The main theorem: a simply connected Lie group $G$ admits a continuous invariant order if and only if its Lie algebra $L (G)$ contains a pointed invariant cone. V. M. Gichev has proved this theorem for solvable simply connected Lie groups (1989). If $G$ is solvable and simply connected then all pointed invariant cones $W$ in $L (G)$ are global in $G$ (a Lie wedge $W \subset L (G)$ ...

On classification of metabelian Lie algebras.

Galitski, L.Yu., Timashev, D.A. (1999)

Journal of Lie Theory

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