Results 41 to 50 of about 584,117 (206)

Freely Generated Vertex Algebras and Non?Linear Lie Conformal Algebras [PDF]

open access: yesCommunications in Mathematical Physics, 2005
We introduce the notion of a non--linear Lie conformal superalgebra and prove a PBW theorem for its universal enveloping vertex algebra. We also show that conversely any graded freely generated vertex algebra is the universal enveloping algebra of a non--linear Lie conformal superalgebra.
DE SOLE, ALBERTO, KAC V.
openaire   +3 more sources

The Lorentz Group Using Conformal Geometric Algebra and Split Quaternions for Color Image Processing: Theory and Practice

open access: yesIEEE Access, 2023
The processing of color images is of great interest, because the human perception of color is a very complex process, still not well understood. In this article, firstly the authors present an analysis of the well-known mathematical methods used to model
Eduardo Bayro-Corrochano   +2 more
doaj   +1 more source

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

open access: yes, 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

Gauge Symmetry and Howe Duality in 4D Conformal Field Theory Models

open access: yesAdvances in Mathematical Physics, 2010
It is known that there are no local scalar Lie fields in more than two dimensions. Bilocal fields, however, which naturally arise in conformal operator product expansions, do generate infinite Lie algebras.
Ivan Todorov
doaj   +1 more source

A SIMPLE DERIVATION OF FINITE-TEMPERATURE CFT CORRELATORS FROM THE BTZ BLACK HOLE

open access: yesActa Polytechnica, 2014
We present a simple Lie-algebraic approach to momentum-space two-point functions of two-dimensional conformal field theory at finite temperature dual to the BTZ black hole.
Satoshi Ohya
doaj   +1 more source

On Riemannian manifolds endowed with a locally conformal cosymplectic structure

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
We deal with a locally conformal cosymplectic manifold M(φ,Ω,ξ,η,g) admitting a conformal contact quasi-torse-forming vector field T. The presymplectic 2-form Ω is a locally conformal cosymplectic 2-form.
Ion Mihai   +2 more
doaj   +1 more source

Lie algebra of conformal Killing–Yano forms [PDF]

open access: yesClassical and Quantum Gravity, 2016
We provide a generalization of the Lie algebra of conformal Killing vector fields to conformal Killing-Yano forms. A new Lie bracket for conformal Killing-Yano forms that corresponds to slightly modified Schouten-Nijenhuis bracket of differential forms is proposed.
openaire   +2 more sources

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

open access: yes, 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   +8 more
core   +1 more source

On Embedding of Lie Conformal Algebras into Associative Conformal Algebras

open access: yesJournal of Lie Theory, 2005
We prove that a Lie conformal algebra L with bounded locality function is embeddable into an associative conformal algebra A with the same bound on the locality function. If L is nilpotent, then so is A, and the nilpotency index remains the same. We also give a list of open questions concerning the embedding of Lie conformal algebras into associative ...
openaire   +3 more sources

Simplicity of quadratic Lie conformal algebras [PDF]

open access: yesCommunications in Algebra, 2016
In this paper, simplicity of quadratic Lie conformal algebras are investigated. From the point view of the corresponding Gel'fand-Dorfman bialgebras, some sufficient conditions and necessary conditions to ensure simplicity of quadratic Lie conformal algebras are presented.
Hong, Yanyong, Wu, Zhixiang
openaire   +2 more sources

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