Results 31 to 40 of about 14,501 (209)
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
Hodge decomposition of string topology
Forum of Mathematics, Sigma, 2021 Let X be a simply connected closed oriented manifold of rationally elliptic homotopy type. We prove that the string topology bracket on the $S^1$-equivariant homology $ {\overline {\text {H}}}_\ast ^{S^1}({\mathcal {L}} X,{\mathbb {Q}}) $ of the free ...
Yuri Berest +2 more
doaj +1 more source
On some algebraic formulations within universal enveloping algebras related to superintegrability
Acta Polytechnica, 2022 We report on some recent purely algebraic approaches to superintegrable systems from the perspective of subspaces of commuting polynomials in the enveloping algebras of Lie algebras that generate quadratic (and eventually higher-order) algebras.
Rutwig Campoamor-Stursberg
doaj +1 more source
New models for some free algebras of small ranks
Karpatsʹkì Matematičnì Publìkacìï, 2023 Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
doaj +1 more source
Algebras, traces, and boundary correlators in N $$ \mathcal{N} $$ = 4 SYM
Journal of High Energy Physics, 2021 We study supersymmetric sectors at half-BPS boundaries and interfaces in the 4d N $$ \mathcal{N} $$ = 4 super Yang-Mills with the gauge group G, which are described by associative algebras equipped with twisted traces.
Mykola Dedushenko, Davide Gaiotto
doaj +1 more source
UNIVERSAL ENVELOPING ALGEBRAS OF PBW TYPE [PDF]
Glasgow Mathematical Journal, 2011 AbstractWe continue our investigation of the general notion of universal enveloping algebra introduced in [A. Ardizzoni, A Milnor–Moore type theorem for primitively generated braided Bialgebras, J. Algebra 327(1) (2011), 337–365]. Namely, we study a universal enveloping algebra when it is of Poincaré–Birkhoff–Witt (PBW) type, meaning that a suitable ...
openaire +4 more sources
Enveloping algebras of Malcev algebras [PDF]
, 2010 We first discuss the construction by Perez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both ...
Bremner, Murray R. +4 more
core +3 more sources
On the universal enveloping algebra of a Lie algebroid [PDF]
Proceedings of the American Mathematical Society, 2010 We review the extent to which the structure of the universal enveloping algebra of a Lie algebroid over a manifold M M ...
Moerdijk, I., Mrcun, J.
openaire +2 more sources
Gluing affine Yangians with bi-fundamentals
Journal of High Energy Physics, 2020 The affine Yangian of gl 1 $$ {\mathfrak{gl}}_1 $$ is isomorphic to the universal enveloping algebra of W 1 + ∞ $$ {\mathcal{W}}_{1+\infty } $$ and can serve as a building block in the construction of new vertex operator algebras. In [1], a two-parameter
Wei Li
doaj +1 more source
Universal enveloping Poisson conformal algebras [PDF]
International Journal of Algebra and Computation, 2020 Lie conformal algebras are useful tools for studying vertex operator algebras and their representations. In this paper, we establish close relations between Poisson conformal algebras and representations of Lie conformal algebras. We also calculate explicitly Poisson conformal brackets on the associated graded conformal algebras of universal ...
openaire +3 more sources