Results 31 to 40 of about 168,726 (280)

Noether Symmetries of the Area-Minimizing Lagrangian

Journal of Applied Mathematics, 2012
It is shown that the Lie algebra of Noether symmetries for the Lagrangian minimizing an (n-1)-area enclosing a constant n-volume in a Euclidean space is so(n)⊕sℝn and in a space of constant curvature the Lie algebra is so(n).
Adnan Aslam, Asghar Qadir
doaj   +1 more source

On the Thom–Sebastiani Property of Quasi-Homogeneous Isolated Hypersurface Singularities

Comptes Rendus. Mathématique, 2022
Let $(V, 0) \subset (\mathbb{C}^n,0)$ be a quasi-homogeneous isolated hypersurface singularity. In this paper we prove under certain weight conditions a relation between the property of $(V,0)$ being of Thom–Sebastiani type and the dimension of toral Lie
Epure, Raul
doaj   +1 more source

Quasi-classical Lie algebras and their contractions [PDF]

, 2006
After classifying indecomposable quasi-classical Lie algebras in low dimension, and showing the existence of non-reductive stable quasi-classical Lie algebras, we focus on the problem of obtaining sufficient conditions for a quasi-classical Lie algebras ...
A. Das, A. Nijenhuis, A.A. Slavnov, A.D. Popov, C. Nappi, C.G. Bollini, E. Mundt, E. Weimar-Woods, E. Weimar-Woods, G. Favre, H. Bohr, H.C. Myung, H.D. Doebner, J. Patera, J.A. Azcárraga de, M. Goze, P. Turkowski, P. Turkowski, P.L. Huddleston, R. Campoamor-Stursberg, R. Campoamor-Stursberg, R. Campoamor-Stursberg, R. Campoamor-Stursberg, R. Campoamor-Stursberg, R. Campoamor-Stursberg, R. Schimming, S. Okubo, S. Okubo, S. Okubo, V. Boyko   +29 more
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CR-manifolds of dimension 5: A Lie algebra approach [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 2007
We study real-analytic Levi degenerate hypersurfaces M in complex manifolds of dimension 3, for which the CR-automorphism group Aut(M) is a real Lie group acting transitively on M. We provide large classes of examples for such M, compute the corresponding groups Aut(M) and determine the maximal subsets of M that cannot be separated by global continuous
Fels, Gregor, Kaup, Wilhelm
openaire   +3 more sources

The Sharp Upper Estimate Conjecture for the Dimension δ_k(V) of New Derivation Lie Algebra

Mathematics, 2022
Hussain, Yau, and Zuo introduced the Lie algebra Lk(V) from the derivation of the local algebra Mk(V):=On/(g+J1(g)+⋯+Jk(g)). To find the dimension of a newly defined algebra is an important task in order to study its properties.
Naveed Hussain, Ahmad N. Al-Kenani, Muhammad Arshad, Muhammad Asif   +3 more
doaj   +1 more source

String Bracket and Flat Connections [PDF]

, 2006
Let $G \to P \to M$ be a flat principal bundle over a closed and oriented manifold $M$ of dimension $m=2d$. We construct a map of Lie algebras $\Psi: \H_{2\ast} (L M) \to {\o}(\Mc)$, where $\H_{2\ast} (LM)$ is the even dimensional part of the equivariant
Atiyah, Brylinski, Cattaneo, Chas, Chas, Chen, Chen, Cohen, Cohen, Gan, Godement, Goldman, Greub, Guillemin, Hamilton, Hossein Abbaspour, Karshon, Mahmoud Zeinalian, Morita   +18 more
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Restricted and quasi-toral restricted Lie-Rinehart algebras

Open Mathematics, 2015
In this paper, we introduce the definition of restrictable Lie-Rinehart algebras, the concept of restrictability is by far more tractable than that of a restricted Lie-Rinehart algebra.
Sun Bing, Chen Liangyun
doaj   +1 more source

Gradings of non-graded Hamiltonian Lie algebras [PDF]

, 2005
A thin Lie algebra is a Lie algebra graded over the positive integers satisfying a certain narrowness condition. We describe several cyclic grading of the modular Hamiltonian Lie algebras $H(2\colon\n;\omega_2)$ (of dimension one less than a power of $p$)
A. Caranti, Albert, Avitabile, Benkart, Carrara, Dzhumadil'daev, Dzhumadil'daev, Farnsteiner, Kac, Kostrikin, Kostrikin, Kostrikin, Kostrikin, Kuznetsov, Leedham-Green, S. Mattarei, Skryabin, Strade   +17 more
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Krull dimension of the enveloping algebra of a semisimple Lie algebra [PDF]

Proceedings of the American Mathematical Society, 2002
It is proved that for any complex semisimple Lie algebra \(\mathfrak g\) the Krull dimension (in the sense of Gabriel and Rentschler) of its universal enveloping algebra is equal to the dimension of the Borel subalgebra of \(\mathfrak g\). It is easy to see that \(\text{Kdim\,}{\mathbf U}({\mathfrak g})\geq\dim{\mathfrak g}\).
openaire   +2 more sources

Classification of quadratic Lie algebras of low dimension [PDF]

Journal of Mathematical Physics, 2014
In this paper, we give the classification of the irreducible nonsolvable Lie algebras of dimensions \documentclass[12pt]{minimal}\begin{document}$\le\hspace*{-2.5pt}13$\end{document}≤13 with nondegenerate, symmetric, and invariant bilinear forms.
Saïd Benayadi, Alberto Elduque
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