Results 1 to 10 of about 218,663 (179)
The Universal Askey-Wilson Algebra [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain parameters as central elements in ...
Paul Terwilliger
doaj +6 more sources
Quantum groups, Yang–Baxter maps and quasi-determinants
Nuclear Physics B, 2018 For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang–Baxter equation. It is known that the adjoint action of the universal R-matrix on the elements of the tensor square of the algebra constitutes a quantum ...
Zengo Tsuboi
doaj +5 more sources
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
doaj +1 more source
Post-Lie algebras in Regularity Structures
Forum of Mathematics, Sigma, 2023 In this work, we construct the deformed Butcher-Connes-Kreimer Hopf algebra coming from the theory of Regularity Structures as the universal envelope of a post-Lie algebra.
Yvain Bruned, Foivos Katsetsiadis
doaj +1 more source
On the Category of EQ-algebras
Bulletin of the Section of Logic, 2021 In this paper, we studied the category of EQ-algebras and showed that it is complete, but it is not cocomplete, in general. We proved that multiplicatively relative EQ-algebras have coequlizers and we calculated coproduct and pushout in a special case ...
Narges Akhlaghinia +3 more
doaj +1 more source
Universal corner symmetry and the orbit method for gravity
Nuclear Physics B, 2023 A universal symmetry algebra organizing the gravitational phase space has been recently found. It corresponds to the subset of diffeomorphisms that become physical at corners – codimension-2 surfaces supporting Noether charges.
Luca Ciambelli, Robert G. Leigh
doaj +1 more source
Pseudo-free families and cryptographic primitives
Journal of Mathematical Cryptology, 2022 In this article, we study the connections between pseudo-free families of computational Ω\Omega -algebras (in appropriate varieties of Ω\Omega -algebras for suitable finite sets Ω\Omega of finitary operation symbols) and certain standard cryptographic ...
Anokhin Mikhail
doaj +1 more source
On even spin W ∞ $$ {\mathcal{W}}_{\infty } $$
Journal of High Energy Physics, 2020 We study the even spin W ∞ $$ {\mathcal{W}}_{\infty } $$ which is a universal W -algebra for orthosymplectic series of W $$ \mathcal{W} $$ -algebras. We use the results of Fateev and Lukyanov to embed the algebra into W 1 + ∞ $$ {\mathcal{W}}_{1+\infty }
Tomáš Procházka
doaj +1 more source
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
doaj +1 more source
The Reticulation of a Universal Algebra [PDF]
Scientific Annals of Computer Science, 2018 The reticulation of an algebra A is a bounded distributive lattice L(A) whose prime spectrum of filters or ideals is homeomorphic to the prime spectrum of congruences of A, endowed with the Stone topologies.
G. Georgescu, C. Mureșan
doaj +1 more source