Results 41 to 50 of about 14,501 (209)
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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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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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
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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
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On the homological properties of the universal enveloping Leibniz algebra [PDF]
, 2018 We presente a study of graded Leibniz algebras and its universal enveloping Leibniz algebra. We prove that the universal enveloping Leibniz algebra of a finite dimensional graded Leibniz algebra is a quasi-Koszul algebra or an inhomogeneous Koszul ...
Cañete-Molero, Elisa María
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AI in chemical engineering: From promise to practice
AIChE Journal, EarlyView.Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew +4 more
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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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Heisenberg-Type Families in $U_q(widehat{sl_2})$
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Using the second Drinfeld formulation of the quantized universal enveloping algebra $U_q(widehat{sl_2})$ we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar to generators of a ...
Alexander Zuevsky
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Color Lie rings and PBW deformations of skew group algebras
, 2019 We investigate color Lie rings over finite group algebras and their universal enveloping algebras. We exhibit these universal enveloping algebras as PBW deformations of skew group algebras: Every color Lie ring over a finite group algebra with a ...
Fryer, S. +4 more
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Colored quantum universal enveloping algebras [PDF]
Journal of Mathematical Physics, 1997 We define some new algebraic structures, termed colored Hopf algebras, by combining the coalgebra structures and antipodes of a standard Hopf algebra set ℋ, corresponding to some parameter set 𝒬, with the transformations of an algebra isomorphism group 𝒢, herein called color group.
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