Results 51 to 60 of about 42,262 (215)

Conformal oscillator representations of orthogonal Lie algebras [PDF]

Science China Mathematics, 2015
13pages
openaire   +3 more sources

Loop Schrödinger–Virasoro Lie conformal algebra [PDF]

International Journal of Mathematics, 2016
In this paper, we introduce two kinds of Lie conformal algebras, associated with the loop Schrödinger–Virasoro Lie algebra and the extended loop Schrödinger–Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of these two conformal algebras are completely determined. And nontrivial free conformal modules of rank
Jianzhi Han, Yucai Su, Ying Xu, Haibo Chen   +3 more
openaire   +2 more sources

Conformal embeddings and simple current extensions [PDF]

, 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, Kac, Victor G., Papi, Paolo, Xu, Feng   +3 more
core   +3 more sources

From Dynkin diagram symmetries to fixed point structures [PDF]

, 1995
Any automorphism of the Dynkin diagram of a symmetrizable Kac-Moody algebra induces an automorphism of the algebra and a mapping between its highest weight modules.
A.N. Schellekens, A.N. Schellekens, A.N. Schellekens, Bert Schellekens, C. Saclioglu, Christoph Schweigert, J Fuchs, J Fuchs, Jürgen Fuchs, V.G. Kac   +9 more
core   +5 more sources

Generalizing the $$\mathfrak {bms}_{3}$$ bms3 and 2D-conformal algebras by expanding the Virasoro algebra

European Physical Journal C: Particles and Fields, 2018
By means of the Lie algebra expansion method, the centrally extended conformal algebra in two dimensions and the $$\mathfrak {bms}_{3}$$ bms3 algebra are obtained from the Virasoro algebra.
Ricardo Caroca, Patrick Concha, Evelyn Rodríguez, Patricio Salgado-Rebolledo   +3 more
doaj   +1 more source

Central extensions and conformal derivations of a class of Lie conformal algebras [PDF]

Linear and Multilinear Algebra, 2020
21 pages. We add some results on the central extensions of quadratic Lie conformal algebras by a one-dimensional center $\mathbb{C}\mathfrak{c}_\beta$ and an abelian Lie conformal algebra $\mathbb{C}[\partial]\mathfrak{c}$ which is free of rank ...
openaire   +2 more sources

On the Ado Theorem for finite Lie conformal algebras with Levi decomposition

, 2012
We prove that a finite torsion-free conformal Lie algebra with a splitting solvable radical has a finite faithful conformal representation.Comment: 11 ...
Jacobson N., Neretin Yu. A., Pavel Kolesnikov, Procesi C., Roitman M.   +4 more
core   +1 more source

$\Gamma$-Conformal Algebras

, 1997
$\Gamma$-conformal algebra is an axiomatic description of the operator product expansion of chiral fields with simple poles at finitely many points. We classify these algebras and their representations in terms of Lie algebras and their representations ...
Golenishcheva-Kutuzova, Maria, Kac, Victor   +1 more
core   +1 more source

Relational Supersymmetry via the Dressing Field Method and Matter‐Interaction Supergeometric Framework

Annalen der Physik, EarlyView.
Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
wiley   +1 more source

A remark on simplicity of vertex algebras and Lie conformal algebras

Journal of Algebra, 2008
6 pages. Some typos corrected.
openaire   +4 more sources