Results 41 to 50 of about 530,171 (149)

Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5

Jambura Journal of Mathematics
In this research, we studied quasi-Frobenius Lie algebras and filiform Lie algebras of dimensions ≤ 5 over real field. The primary objective of this research is to classify the classification of filiform Lie algebras of dimensions ≤ 5 into quasi ...
Putri Nisa Pratiwi, Edi Kurniadi, Firdaniza Firdaniza   +2 more
doaj   +1 more source

Struktur Simplektik pada Aljabar Lie Affine aff(2,R)

Jambura Journal of Mathematics
In this research, we studied the affine Lie algebra aff(2,R). The aim of this research is to determine the 1-form in affine Lie algebra aff(2,R) which is associated with its symplectic structure so that affine Lie algebra aff(2,R) is a Frobenius Lie ...
Aurillya Queency, Edi Kurniadi, Firdaniza Firdaniza   +2 more
doaj   +1 more source

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

Catalan Bounds for Symmetric Strength‐Two Orthogonal Arrays

Journal of Combinatorial Designs, EarlyView.
ABSTRACT A Hamming shell construction is a two‐level array obtained by taking every binary vector of a given Hamming weight a prescribed number of times, for each weight in turn. Such arrays are invariant under all permutations of the factors, and they are strength‐two orthogonal arrays exactly when the multiplicities satisfy three linear constraints ...
Ruwan C. Karunanayaka
wiley   +1 more source

New views of some invariants associated with the Cartesian 2D velocity gradient tensor

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Vorticity and divergence of horizontal flow are fundamental quantities in meteorology; both are linear functions of the four elements of the 2D velocity gradient tensor and both are formally unchanged under coordinate rotation. We explore four quadratic functions of the elements that are geometrically invariant in this sense, finding some novel ...
I. Roulstone, S. A. Clough, A. A. White
wiley   +1 more source

Frobenius structures and characters of affine Lie algebras

Osaka Journal of Mathematics, 2017
35 pages. In this revision, Proposition 5.4 in the previous version is divided into 4 Propositions (from Proposition 5.4 to Proposition 5.7).
openaire   +5 more sources

Families of Frobenius seaweed Lie algebras

, 2012
We extend the set of known infinite families of Frobenius seaweed Lie subalgebras of $\mathfrak{sl}_{n}$ to include a family which is the first non-trivial general family containing algebras whose associated meanders have an arbitrarily large number of parts.
Coll, Vincent, Magnant, Colton, Wang, Hua   +2 more
openaire   +2 more sources

Toward Encrypted OPF Across Transmission and Distribution—Prospects and Open Problems of Encrypted Quadratic Programming

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The increasing integration of distributed energy resources demands enhanced coordination between transmission system operators (TSOs) and distribution system operators (DSOs) to maintain reliable grid operation. Traditional approaches rely on hierarchical or distributed optimization schemes for power flow management, but these methods either ...
Janis Adamek, Philipp Binfet, Maísa Beraldo Bandeira, Timm Faulwasser, Moritz Schulze Darup   +4 more
wiley   +1 more source

Lie algebras: infinite generalizations and deformations [PDF]

, 1990
There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
core  

THE LEVI DECOMPOSITION OF THE LIE ALGEBRA M_2 (R)⋊gl_2 (R)

Barekeng
The idea of the Lie algebra  is studied in this research. The decomposition between Levi sub-algebra and the radical can be used to define the finite dimensional Lie algebra. The Levi decomposition is the name for this type of decomposition. The goal of
Edi Kurniadi, Henti Henti, Ema Carnia
doaj   +1 more source