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From Quantum Universal Enveloping Algebras to Quantum Algebras [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 The ``local'' structure of a quantum group G_q is currently considered to be an infinite-dimensional object: the corresponding quantum universal enveloping algebra U_q(g), which is a Hopf algebra deformation of the universal enveloping algebra of a n ...
A Ballesteros +18 more
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Integral Bases for the Universal Enveloping Algebras of Map Algebras [PDF]
Journal of Algebra, 2011 Given a finite-dimensional, complex simple Lie algebra we exhibit an integral form for the universal enveloping algebra of its map algebra, and an explicit integral basis for this integral form.
Chamberlin, Samuel H.
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Hermite Functions, Lie Groups and Fourier Analysis [PDF]
Entropy, 2018 In this paper, we present recent results in harmonic analysis in the real line R and in the half-line R + , which show a closed relation between Hermite and Laguerre functions, respectively, their symmetry groups and Fourier analysis. This
Enrico Celeghini +2 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In recent years there has been a great interest in the study of Zinbiel (dual Leibniz) algebras. Let A be Zinbiel algebra over an arbitrary field K and let e1,e2,...,em,... be a linear basis of A. In 2010 A.
D.M. Zhangazinova, A.S. Naurazbekova
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On the algebra generated by μ¯,∂¯,∂,μ\overline{\mu },\overline{\partial },\partial ,\mu
Complex Manifolds, 2023 In this note, we determine the structure of the associative algebra generated by the differential operators μ¯,∂¯,∂\overline{\mu },\overline{\partial },\partial , and μ\mu that act on complex-valued differential forms of almost complex manifolds.
Auyeung Shamuel +2 more
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Bulletin of Mathematical Sciences, 2023 Perfect C∗-algebras were introduced by Akeman and Shultz in [Perfect C*-algebras, Mem. Amer. Math. Soc. 55(326) (1985)] and they form a certain subclass of C*-algebras determined by their pure states, and for which the general Stone–Weierstrass ...
Fatmah B. Jamjoom
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On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras
International Journal of Mathematics and Mathematical Sciences, 2020 The relationship between JW-algebras (resp. JC-algebras) and their universal enveloping von Neumann algebras (resp. C∗-algebras) can be described as significant and influential. Examples of numerous relationships have been established.
F. B. H. Jamjoom, A. H. Al Otaibi
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Towards higher-spin holography in flat space
Journal of High Energy Physics, 2023 We study the chiral flat space higher-spin algebra, which is the global symmetry algebra of the chiral higher-spin theory in the 4d Minkowski space. We find that it can be constructed as the universal enveloping algebra of a certain chiral deformation of
Dmitry Ponomarev
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Unfolded Fierz-Pauli equations in three-dimensional asymptotically flat spacetimes
Journal of High Energy Physics, 2023 We utilise a quotient of the universal enveloping algebra of the Poincaré algebra in three spacetime dimensions, on which we formulate a covariant constancy condition.
Martin Ammon, Michel Pannier
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Towards massless sector of tensionless strings on AdS5
Physics Letters B, 2020 A Higher Spin Gravity in five dimensions is constructed. It was shown recently that constructing formally consistent classical equations of motion of higher spin gravities is equivalent to finding a certain deformation of a given higher spin algebra.
Alexey Sharapov +2 more
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