Results 71 to 80 of about 14,501 (209)
Universal enveloping algebras and universal derivations of Poisson algebras
Journal of Algebra, 2012 20 ...
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Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra [PDF]
Journal of Mathematical Physics, 1996 We discuss a method to construct a De Rham complex (differential algebra) of Poincaré–Birkhoff–Witt type on the universal enveloping algebra of a Lie algebra g. We determine the cases in which this gives rise to a differential Hopf algebra that naturally extends the Hopf algebra structure of U(g).
van den Hijligenberg, N., Martini, R.
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Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Mathematische Nachrichten, Volume 299, Issue 2, Page 456-479, February 2026.Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
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Quasitriangularity and enveloping algebras for inhomogeneous quantum groups
, 1995 Coquasitriangular universal ${\cal R}$ matrices on quantum Lorentz and quantum Poincar\'e groups are classified. The results extend (under certain assumptions) to inhomogeneous quantum groups of [10].
P. Podleś +3 more
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On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
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Jordan homomorphisms and T‐ideals
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let A$A$ and B$B$ be associative algebras over a field F$F$ with char(F)≠2${\rm char}(F)\ne 2$. Our first main result states that if A$A$ is unital and equal to its commutator ideal, then every Jordan epimorphism φ:A→B$\varphi:A\rightarrow B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily
Matej Brešar, Efim Zelmanov
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IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.The work delivers a rigorous mathematical framework for asymptotic tracking in nonlinear systems that explicitly include control‐input derivatives, actuator dynamics, and input saturation, with Lyapunov‐based proofs establishing convergence and robustness under their coupled effects.
Mohammad Reza Homaeinezhad +5 more
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Zhukovsky-Volterra top and quantisation ideals
Nuclear Physics BIn this letter, we revisit the quantisation problem for a fundamental model of classical mechanics—the Zhukovsky-Volterra top. We have discovered a four-parametric pencil of compatible Poisson brackets, comprising two quadratic and two linear Poisson ...
A. Mikhailov, T. Skrypnyk
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The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of U(gl2) [PDF]
, 2021 V. V. Bavula, Tao Lü
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The Universal Enveloping Algebra of the Schrödinger Algebra and its Prime Spectrum [PDF]
Canadian Mathematical Bulletin, 2018 AbstractThe prime, completely prime, maximal, and primitive spectra are classified for the universal enveloping algebra of the Schrödinger algebra. The explicit generators are given for all of these ideals. A counterexample is constructed to the conjecture of Cheng and Zhang about nonexistence of simple singular Whittaker modules for the Schrödinger ...
Bavula, V.V., Lu, T.
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