Results 21 to 30 of about 579,929 (244)

On structural aspects of finite simple groups of Lie type [PDF]

, 2011
PhDIn this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two ...
Ramo, Johanna Maria
core   +4 more sources

Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]

, 2006
We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J, Kraft, Hanspeter, Kraft, H., Kuttler, J., Kuttler, Jochen, Kraft, H, Draisma, J., Draisma, J Jan, Draisma, Jan   +8 more
core   +1 more source

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

On the Projective Algebra of Randers Metrics of Constant Flag Curvature

Symmetry, Integrability and Geometry: Methods and Applications, 2011
The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of the projective group P(M,F).
Mehdi Rafie-Rad, Bahman Rezaei
doaj   +1 more source

Projective vector fields on exponential -metrics

Mathematics Open
This paper is devoted to the study of the projective algebra of a certain class of [Formula: see text]-metrics. The projective algebra of a Finsler space is a finite-dimensional Lie algebra with respect to the usual Lie bracket.
Seyedeh Yasaman Sadati, Mehdi Rafie-Rad
doaj   +1 more source

Projection spaces and twisted Lie algebras

, 2022
32 pages. To appear in Contemporary Mathematics.
openaire   +2 more sources

Enveloping algebra annihilators and projection techniques for finite-dimensional cyclic modules of a semisimple Lie algebra [PDF]

Journal of Mathematical Physics, 1984
Some results on the structure of finite-dimensional cyclic modules for a semisimple Lie algebra are presented. Cyclic modules arise naturally in constructing symmetry adapted states of a system using projection. Projecting out states with definite symmetry from an arbitrary state ψ is related to the properties of the cyclic module generated by ψ.
Gould, MD, Edwards, SA
openaire   +3 more sources

Geometric Complexity Theory -- Lie Algebraic Methods for Projective Limits of Stable Points

CoRR, 2022
Let $G$ be a connected reductive group acting on a complex vector space $V$ and projective space ${\mathbb P}V$. Let $x\in V$ and ${\cal H}\subseteq {\cal G}$ be the Lie algebra of its stabilizer. Our objective is to understand points $[y]$, and their stabilizers which occur in the vicinity of $[x]$.
Bharat Adsul, Milind A. Sohoni, K. V. Subrahmanyam 0001   +2 more
openaire   +3 more sources

Full Projective Oscillator Representations of Special Linear Lie Algebras and Combinatorial Identities

Journal of Lie Theory, 2023
36 ...
Zhou, Zhenyu, Xu, Xiaoping
openaire   +3 more sources

Sphere and projective space of a C*-algebra with a faithful state

Demonstratio Mathematica, 2019
Let 𝒜 be a unital C*-algebra with a faithful state ϕ. We study the geometry of the unit sphere 𝕊ϕ = {x ∈ 𝒜 : ϕ(x*x) = 1} and the projective space ℙϕ = 𝕊ϕ/𝕋.
Antunez Andrea C.
doaj   +1 more source