Results 31 to 40 of about 27,580 (162)
The Frobenius semiradical of a Lie algebra
Journal of Algebra, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alfons I. Ooms
openaire +2 more sources
On Frobenius functionals of the Lie algebra M3(ℝ) ⊕ gl3(ℝ)
Journal of Physics: Conference Series, 2021 Abstract In the present paper, we study the Lie algebra written in the semi-direct sum formula of the vector space M3 (ℝ) and the Lie algebra gl3 (ℝ) whose both contain 3×3 real matrices. We denote it by g3 : = M3 (ℝ) ⊕ gl3 (ℝ). The aim of this research is to study the existence of a linear functional such that g3 is the Frobenius Lie ...
null Henti, E Kurniadi, E Carnia
openaire +2 more sources
The u-Algebra of a Restricted Lie Algebra is Frobenius [PDF]
Proceedings of the American Mathematical Society, 1964 Astrid J. Berkson
openaire +3 more sources
The Existence of Affine Structures on the Borel Subalgebra of Dimension 6
ComTech, 2021 The notion of affine structures arises in many fields of mathematics, including convex homogeneous cones, vertex algebras, and affine manifolds. On the other hand, it is well known that Frobenius Lie algebras correspond to the research of homogeneous ...
Edi Kurniadi +2 more
doaj +1 more source
On Properties of Five-dimensional Nonstandard Filiform Lie algebra
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 In this paper, we study the five-dimensional nonstandard Filiform Lie algebra and their basis elements representations. The aim of this research is to determine the basis elements of five-dimensional nonstandard Filiform Lie algebras representation in ...
Ricardo Eka Putra +2 more
doaj +1 more source
On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra
JTAM (Jurnal Teori dan Aplikasi Matematika), 2020 In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main purpose of this research is to construct a real Frobenius Lie algebra from the Heisenberg Lie algebra of dimension .
Edi Kurniadi
doaj +1 more source
On Restricted Cohomology of Modular Classical Lie Algebras and Their Applications
Mathematics, 2022 In this paper, we study the restricted cohomology of Lie algebras of semisimple and simply connected algebraic groups in positive characteristics with coefficients in simple restricted modules and their applications in studying the connections between ...
Sherali S. Ibraev +2 more
doaj +1 more source
A Lie algebra attached to a projective variety [PDF]
, 1996 Each choice of a K\"ahler class on a compact complex manifold defines an action of the Lie algebra $\slt$ on its total complex cohomology. If a nonempty set of such K\"ahler classes is given, then we prove that the corresponding $\slt$-copies generate a ...
Looijenga, Eduard, Lunts, Valery L.
core +5 more sources
Higher Deformations of Lie Algebra Representations I [PDF]
, 2020 In the late 1980s, Friedlander and Parshall studied the representations of a family of algebras which were obtained as deformations of the distribution algebra of the first Frobenius kernel of an algebraic group.
Westaway, Matthew
core +3 more sources
Meander Graphs and Frobenius Seaweed Lie Algebras II [PDF]
Journal of Generalized Lie Theory and Applications, 2015 We provide a recursive classification of meander graphs, showing that each meander is identified by a unique sequence of fundamental graph theoretic moves. This sequence is called the meander’s signature and can be used to construct arbitrarily large sets of meanders, Frobenius or otherwise, of any size and configuration.
Coll, Vincent +3 more
openaire +3 more sources