Results 31 to 40 of about 16,231 (186)
Hopf algebras for ternary algebras
, 2009 We construct an universal enveloping algebra associated to the ternary extension of Lie (super)algebras called Lie algebra of order three. A Poincar\'e-Birkhoff-Witt theorem is proven is this context.
de Traubenberg, M. Rausch, Goze, M.
core +3 more sources
Universal enveloping algebras of Poisson Ore extensions
, 2014 We prove that the universal enveloping algebra of a Poisson-Ore extension is a length two iterated Ore extension of the original universal enveloping algebra.
Lü, Jiafeng +2 more
core +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
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Reductive compactifications of semitopological semigroups
International Journal of Mathematics and Mathematical Sciences, 2003 We consider the enveloping semigroup of a flow generated by the action of a semitopological semigroup on any of its semigroup compactifications and explore the possibility of its being one of the known semigroup compactifications again.
Abdolmajid Fattahi +2 more
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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
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Co-Poisson structures on polynomial Hopf algebras
, 2017 The Hopf dual $H^\circ$ of any Poisson Hopf algebra $H$ is proved to be a co-Poisson Hopf algebra provided $H$ is noetherian. Without noetherian assumption, it is not true in general.
Lou, Qi, Wu, QuanShui
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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
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Energy Internet, EarlyView.ABSTRACT With the advancement of smart grid and Internet of Things, alongside broad adoption of distributed energy resources, precise profiling of residential users has become vital to grid operational efficiency and load forecasting accuracy. However, existing profiling approaches mainly rely on single‐source load data and fail to capture the dynamic ...
Danlin Li +6 more
wiley +1 more source
Derivations and Extensions in JC-Algebras
International Journal of Mathematics and Mathematical SciencesA well-known result by Upmeier states that every derivation on a universally reversible JC-algebra A⊆BHsa extends to the C∗-algebra A generated by A in BH.
Fatmah B. Jamjoom, Doha A. Abulhamail
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