Results 31 to 40 of about 34,345 (209)
Universal Enveloping Lie Rota–Baxter Algebras of Pre-Lie and Post-Lie Algebras [PDF]
Algebra i logika, 2017 Universal enveloping Lie Rota–Baxter algebras of pre-Lie and post-Lie algebras are constructed. It is proved that the pairs of varieties (RBLie, preLie) and (RBλLie, postLie) are PBW-pairs and that the variety of Lie Rota–Baxter algebras is not a ...
V. Gubarev
semanticscholar +1 more source
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
QUANTUM FLAG MANIFOLDS AS QUOTIENTS OF DEGENERATE QUANTIZED UNIVERSAL ENVELOPING ALGEBRAS [PDF]
, 2014 Let g$$ \mathfrak{g} $$ be a semi-simple Lie algebra with fixed root system, and Uq(g$$ \mathfrak{g} $$) the quantization of its universal enveloping algebra. Let S be a subset of the simple roots of g$$ \mathfrak{g} $$.
K. Commer, S. Neshveyev
semanticscholar +1 more source
On the Tensor Products of Maximal Abelian JW-Algebras
International Journal of Mathematics and Mathematical Sciences, 2009 It is well known in the work of Kadison and Ringrose (1983)that if 𝐴 and 𝐵 are maximal abelian von Neumann subalgebras of von Neumann algebras 𝑀 and 𝑁, respectively, then 𝐴⊗𝐵 is a maximal abelian von Neumann subalgebra of 𝑀⊗𝑁.
F. B. H. Jamjoom
doaj +1 more source
Gluing two affine Yangians of 𝔤𝔩1
Journal of High Energy Physics, 2019 We construct a four-parameter family of affine Yangian algebras by gluing two copies of the affine Yangian of 𝔤𝔩1. Our construction allows for gluing operators with arbitrary (integer or half integer) conformal dimension and arbitrary (bosonic or ...
Wei Li, Pietro Longhi
doaj +1 more source
A Natural Extension of the Universal Enveloping Algebra Functor to Crossed Modules of Leibniz Algebras [PDF]
Applied Categorical Structures, 2016 The universal enveloping algebra functor between Leibniz and associative algebras defined by Loday and Pirashvili is extended to crossed modules. We prove that the universal enveloping crossed module of algebras of a crossed module of Leibniz algebras is
Rafael Fernández-Casado +2 more
semanticscholar +1 more source
I-factorial quantum torsors and Heisenberg algebras of quantized universal enveloping type [PDF]
, 2017 We introduce a notion of I-factorial quantum torsor , which consists of an integrable ergodic action of a locally compact quantum group on a type I -factor such that also the crossed product is a type I -factor. We show that any such I -factorial quantum
K. Commer
semanticscholar +1 more source
Do $n$-Lie algebras have universal enveloping algebras
, 2015 The aim of this paper is to investigate in which sense, for $n\geq 3$, $n$-Lie algebras admit universal enveloping algebras. There have been some attempts at a construction (see [10] and [5]) but after analysing those we come to the conclusion that they cannot be valid in general. We give counterexamples and sufficient conditions.
Garcia Martinez, Xabier +2 more
openaire +4 more sources
On light-like deformations of the Poincaré algebra
European Physical Journal C: Particles and Fields, 2019 We investigate the observational consequences of the light-like deformations of the Poincaré algebra induced by the jordanian and the extended jordanian classes of Drinfel’d twists.
Zhanna Kuznetsova, Francesco Toppan
doaj +1 more source
A note on the restricted universal enveloping algebra of a restricted Lie-Rinehart Algebra
, 2015 Lie-Rinehart algebras, also known as Lie algebroids, give rise to Hopf algebroids by a universal enveloping algebra construction, much as the universal enveloping algebra of an ordinary Lie algebra gives a Hopf algebra, of infinite dimension.
Schauenburg, Peter
core +3 more sources