Results 31 to 40 of about 110,923 (229)

On Schrödinger-Virasoro type Lie conformal algebras [PDF]

Communications in Algebra, 2016
In this paper, two new classes of Schr dinger-Virasoro type Lie conformal algebras TSV(a,b) and TSV(c) which are non-simple are introduced for some a, b, c\in \mathbb{C}. Moreover, central extensions, conformal derivations and free conformal modules of rank 1 of TSV(a,b) and TSV(c) are determined.
Yanyong Hong
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Lie Bialgebra Structures and Quantization of Generalized Loop Planar Galilean Conformal Algebra

Axioms
In this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) W(Γ). Additionally, we prove that all LB structures on W(Γ) possess a triangular coboundary.
Yu Yang, Xingtao Wang
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Classification of rank two Lie conformal algebras

, 2017
19 ...
Rekha Biswal, Abdelkarim Chakhar, Xiao He   +2 more
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The structure of locally conformally product Lie algebras [PDF]

23 ...
Viviana del Barco, Andrei Moroianu
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On a Class of Infinite Simple Lie Conformal Algebras [PDF]

Algebras and Representation Theory, 2021
In this paper, we study a class of infinite simple Lie conformal algebras associated to a class of generalized Block type Lie algebras. The central extensions, conformal derivations and free intermediate series modules of this class of Lie conformal algebras are determined.
Haibo Chen, Yanyong Hong, Yang Pan
openaire   +3 more sources

Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules [PDF]

Journal of Mathematics and Physics, 2022
In this work, we find Hochschild cohomology groups of the Weyl associative conformal algebra with coefficients in all finite modules. The Weyl conformal algebra is the universal associative conformal envelope of the Virasoro Lie conformal algebra ...
H. Alhussein, P. Kolesnikov
semanticscholar   +1 more source

Conformal Symmetries of the Strumia–Tetradis’ Metric

Physical Sciences Forum, 2023
In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos, Christos Tsipogiannis   +1 more
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Conformal Isometry of Lie Group Representation in Recurrent Network of Grid Cells [PDF]

NeurReps, 2022
The activity of the grid cell population in the medial entorhinal cortex (MEC) of the mammalian brain forms a vector representation of the self-position of the animal.
Dehong Xu, Ruiqi Gao, Wenhao Zhang, Xue-Xin Wei, Y. Wu   +4 more
semanticscholar   +1 more source

Integrable Floquet systems related to logarithmic conformal field theory

SciPost Physics, 2023
We study an integrable Floquet quantum system related to lattice statistical systems in the universality class of dense polymers. These systems are described by a particular non-unitary representation of the Temperley-Lieb algebra.
Vsevolod I. Yashin, Denis V. Kurlov, Aleksey K. Fedorov, Vladimir Gritsev
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Carrollian and Galilean conformal higher-spin algebras in any dimensions

Journal of High Energy Physics, 2022
We present higher-spin algebras containing a Poincaré subalgebra and with the same set of generators as the Lie algebras that are relevant to Vasiliev’s equations in any space-time dimension D ≥ 3. Given these properties, they can be considered either as
Andrea Campoleoni, Simon Pekar
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