Results 51 to 60 of about 218,663 (179)

The q-Higgs and Askey–Wilson algebras

Nuclear Physics B, 2019
A q-analogue of the Higgs algebra, which describes the symmetry properties of the harmonic oscillator on the 2-sphere, is obtained as the commutant of the oq1/2(2)⊕oq1/2(2) subalgebra of oq1/2(4) in the q-oscillator representation of the quantized ...
Luc Frappat, Julien Gaboriaud, Eric Ragoucy, Luc Vinet   +3 more
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Hopf algebras with triality [PDF]

, 2011
In this paper we revisit and extend the constructions of Glauberman and Doro on groups with triality and Moufang loops to Hopf algebras. We prove that the universal enveloping algebra of any Lie algebra with triality is a Hopf algebra with triality. This
Benkart, Georgia, Madariaga, Sara, Pérez-Izquierdo, José M.   +2 more
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The Universal Askey-Wilson Algebra and the Equitable Presentation of U_q(sl_2)

Symmetry, Integrability and Geometry: Methods and Applications, 2011
Around 1992 A. Zhedanov introduced the Askey-Wilson algebra AW(3). Recently we introduced a central extension Δ of AW(3) called the universal Askey-Wilson algebra. In this paper we discuss a connection between Δ and the quantum algebra U_q(sl_2).
Paul Terwilliger
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Computably Enumerable Semisimple Rings

Mathematics
The theory of semisimple rings plays a fundamental role in noncommutative algebra. We study the complexity of the problem of semisimple rings using the tools of computability theory. Following the general idea of computably enumerable (c.e.
Huishan Wu
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Universal Algebra of a Hom-Lie Algebra and group-like elements

, 2015
We construct the universal enveloping algebra of a Hom-Lie algebra and endow it with a Hom-Hopf algebra structure.
Laurent-Gengoux, Camille, Makhlouf, Abdenacer, Teles, Joana   +2 more
core  

Riemann Boundary Value Problem for Triharmonic Equation in Higher Space

The Scientific World Journal, 2014
We mainly deal with the boundary value problem for triharmonic function with value in a universal Clifford algebra: Δ3[u](x)=0, x∈Rn∖∂Ω, u+(x)=u-(x)G(x)+g(x), x∈∂Ω, (Dju)+(x)=(Dju)-(x)Aj+fj(x), x∈∂Ω, u(∞)=0, where (j=1,…,5)  ∂Ω is a Lyapunov surface in ...
Longfei Gu
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Twin-plane-partitions and N $$ \mathcal{N} $$ = 2 affine Yangian

Journal of High Energy Physics, 2018
The universal enveloping algebra of W $$ \mathcal{W} $$ 1+∞ is isomorphic to the affine Yangian of g l 1 $$ \mathfrak{g}{\mathfrak{l}}_1 $$ . We study the N $$ \mathcal{N} $$ = 2 supersymmetric version of this correspondence, and identify the full set of
Matthias R. Gaberdiel, Wei Li, Cheng Peng   +2 more
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The universal algebra of the electromagnetic field III. Static charges and emergence of gauge fields. [PDF]

Lett Math Phys, 2022
Buchholz D, Ciolli F, Ruzzi G, Vasselli E.   +3 more
europepmc   +1 more source

Soft factorization in QED from 2D Kac-Moody symmetry

Journal of High Energy Physics, 2018
The soft factorization theorem for 4D abelian gauge theory states that the S $$ \mathcal{S} $$-matrix factorizes into soft and hard parts, with the universal soft part containing all soft and collinear poles.
Anjalika Nande, Monica Pate, Andrew Strominger   +2 more
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Term Functions and Fundamental Relation of Fuzzy Hyperalgebras

Ratio Mathematica, 2010
We introduce and study term functions over fuzzy hyperalgebras. We start from this idea that the set of nonzero fuzzy subsets of a fuzzy hyperalgebra can be organized naturally as a universal algebra, and constructing the term functions over this algebra.
R. Ameri, T. Nozari
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