Results 51 to 60 of about 110,923 (229)

Conformal embeddings and simple current extensions [PDF]

open access: yes, 2014
In this paper we investigate the structure of intermediate vertex algebras associated with a maximal conformal embedding of a reductive Lie algebra in a semisimple Lie algebra of classical type.Comment: Latex file, 45 pages.
Frajria, Pierluigi Moseneder   +3 more
core   +3 more sources

Whittaker modules for the planar Galilean conformal algebra and its central extension [PDF]

open access: yesCommunications in Algebra, 2020
Let be the planar Galilean conformal algebra and be its universal central extension. Then (resp. ) admits a triangular decomposition: (resp. ). In this paper, we study universal and generic Whittaker -modules (resp.
Qiufan Chen, Yufeng Yao, Hengyun Yang
semanticscholar   +1 more source

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

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

Non-relativistic conformal symmetries and Newton-Cartan structures [PDF]

open access: yes, 2009
This article provides us with a unifying classification of the conformal infinitesimal symmetries of non-relativistic Newton-Cartan spacetime. The Lie algebras of non-relativistic conformal transformations are introduced via the Galilei structure.
Christian Duval   +3 more
core   +3 more sources

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

Finite vertex algebras and nilpotence [PDF]

open access: yes, 2007
I show that simple finite vertex algebras are commutative, and that the Lie conformal algebra structure underlying a reduced (i.e., without nilpotent elements) finite vertex algebra is nilpotent.Comment: 24 ...
Alessandro D’Andrea   +13 more
core   +3 more sources

Conformal Lie algebras via deformation theory [PDF]

open access: yesJournal of Mathematical Physics, 2019
We discuss possible notions of conformal Lie algebras, paying particular attention to graded conformal Lie algebras with d-dimensional space isotropy: namely, those with a co(d) subalgebra acting in a prescribed way on the additional generators. We classify those Lie algebras up to isomorphism for all d ⩾ 2 following the same methodology used recently ...
openaire   +4 more sources

Irreducible Modules over Finite Simple Lie Pseudoalgebras I. Primitive Pseudoalgebras of Type W and S

open access: yes, 2005
One of the algebraic structures that has emerged recently in the study of the operator product expansions of chiral fields in conformal field theory is that of a Lie conformal algebra [K].
Bojko Bakalov   +5 more
core   +2 more sources

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