Results 41 to 50 of about 111,692 (231)

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

Classification of rank two Lie conformal algebras

, 2017
19 ...
Rekha Biswal, Abdelkarim Chakhar, Xiao He   +2 more
openalex   +4 more sources

Steinberg unitary Lie conformal algebras [PDF]

Journal of Mathematical Sciences, 2007
In this paper, we study Steinberg unitary Lie conformal algebras, which are universal central extensions of unitary Lie conformal algebras. We describe the kernels of these extensions by means of skew-dihedral homology.
A. V. Mikhalev, I. A. Pinchuk
openalex   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source

On finite representations of conformal algebras [PDF]

, 2010
We prove a finite torsion-free associative conformal algebra to have a finite faithful conformal representation. As a corollary, it is shown that one may join a conformal unit to such an algebra.
Kolesnikov, Pavel
core   +2 more sources

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

, 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, Bojko Bakalov, G. Kac, Primitive Pseudoalgebras Of Type W, Victor, Victor G. Kac   +5 more
core   +3 more sources

The geometry of Casimir W-algebras

SciPost Physics, 2018
Let $\mathfrak{g}$ be a simply laced Lie algebra, $\widehat{\mathfrak{g}}_1$ the corresponding affine Lie algebra at level one, and $\mathcal{W}(\mathfrak{g})$ the corresponding Casimir W-algebra.
Raphaël Belliard, Bertrand Eynard, Sylvain Ribault
doaj   +1 more source

Conformal structure of FLRW cosmology: spinorial representation and the so $$ \mathfrak{so} $$ (2, 3) algebra of observables

Journal of High Energy Physics, 2020
It was recently shown that the homogeneous and isotropic cosmology of a massless scalar field coupled to general relativity exhibits a new hidden conformal invariance under Mobius transformation of the proper time, additionally to the invariance under ...
Jibril Ben Achour, Etera R. Livine
doaj   +1 more source

Calculus structure on the Lie conformal algebra complex and the variational complex [PDF]

, 2010
We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [A. De Sole and V. G.
A. Sole, Pedram Hekmati, V. Kac
semanticscholar   +1 more source