Results 41 to 50 of about 34,345 (209)
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
core
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
core +1 more source
DG Poisson algebra and its universal enveloping algebra [PDF]
Science China Mathematics, 2016 Accepted by Science China ...
Lü, Jiafeng +2 more
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
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
doaj +1 more source
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
doaj +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
Higher-Spin Symmetries and Deformed Schrödinger Algebra in Conformal Mechanics
Advances in Mathematical Physics, 2018 The dynamical symmetries of 1+1-dimensional Matrix Partial Differential Equations with a Calogero potential (with/without the presence of an extra oscillatorial de Alfaro-Fubini-Furlan, DFF, term) are investigated.
Francesco Toppan, Mauricio Valenzuela
doaj +1 more source
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
Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net
International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley +1 more source