Spherical Harmonics Ylm(θ,ϕ): Positive and Negative Integer Representations of su(1,1) for l-m and l+m by H. Fakhri

“…So, in addition to realizing the unitary irreducible representation of su(2) compact Lie algebra via the Ylm(θ,ϕ)’s for a given l, we can also represent su(1,1) noncompact Lie algebra by spherical harmonics for given values of l-m and l+m.…”
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Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy by Zhengduo Shan, Hongwei Yang, Baoshu Yin

“…With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. …”
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Monte Carlo Algorithm For Matrices in Solving Systems of Linear Equations, Determinants, Inverse, Eigen Values, and Eigenvectors. by Bamwine, Delik

“…With increasing data volume and complexity in the "Big Data" era, linear algebra operations are important tools to process massive datasets. …”
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The size of a stratifying system can be arbitrarily large by Treffinger, Hipolito

“…In this short note we construct two families of examples of large stratifying systems in module categories of algebras. The first examples consist on stratifying systems of infinite size in the module category of an algebra $A$. …”
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Quantum Mechanics on a Curved Snyder Space by Salvatore Mignemi, Rina Štrajn

“…We study the representations of the three-dimensional Euclidean Snyder-de Sitter algebra. This algebra generates the symmetries of a model admitting two fundamental scales (Planck mass and cosmological constant) and is invariant under the Born reciprocity for exchange of positions and momenta. …”
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Fixed Point Results of a General Class of Monotone Nonexpansive Mappings in Hyperbolic Metric Spaces by Rida Outass, Karim Chaira, El Miloudi Marhrani, Nour-eddine El Harmouchi

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θ‐ϕ‐Contraction on α,η‐Complete Rectangular b‐Metric Spaces by Abdelkarim Kari, Mohamed Rossafi, El Miloudi Marhrani, Mohamed Aamri

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A New Result on Tricyclic Mappings by Taoufik Sabar, Abdelhafid Bassou, Mohamed Aamri

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Noether Symmetries of the Area-Minimizing Lagrangian by Adnan Aslam, Asghar Qadir

“…It is shown that the Lie algebra of Noether symmetries for the Lagrangian minimizing an (n-1)-area enclosing a constant n-volume in a Euclidean space is so(n)⊕sℝn and in a space of constant curvature the Lie algebra is so(n). …”
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Higher Orbital Integrals, Cyclic Cocycles and Noncommutative Geometry by Yanli Song, Xiang Tang

“…Orbital integrals define traces on the group algebra of G. We introduce a construction of higher orbital integrals in the direction of higher cyclic cocycles on the Harish-Chandra Schwartz algebra of G. …”
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Celestial $w_{1+\infty}$ charges and the subleading structure of asymptotically-flat spacetimes by Marc Geiller

“…We study the subleading structure of asymptotically-flat spacetimes and its relationship to the $w_{1+∞}$ loop algebra of higher spin charges. We do so using both the Bondi–Sachs and the Newman–Penrose formalism, via a dictionary built from a preferred choice of tetrad. …”
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New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces by Abdelkarim Kari, Mohamed Rossafi, El Miloudi Marhrani, Mohamed Aamri

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Some Remarks on Fixed Point Theorems for Interpolative Kannan Contraction by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

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Identifying optimal large N limits for marginal ϕ 4 theory in 4d by Nadia Flodgren

“…Abstract We apply our previously developed approach to marginal quartic interactions in multiscalar QFTs, which shows that one-loop RG flows can be described in terms of a commutative algebra, to various models in 4d. We show how the algebra can be used to identify optimal scalings of the couplings for taking large N limits. …”
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The dynamical U(n) quantum group by Erik Koelink, Yvette Van Norden

“…We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix given by Etingof and Varchenko. …”
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Fixed Point Theorems for α,k,θ,φ-Contraction Multivalued Mappings in b-Metric Space by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

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On $p$-convexification of the Banach-Kantorovich lattice by Gavhar B. Zakirova

“…Let $B$ be a complete Boolean algebra, $Q(B)$ the Stone compact of $B$, and let $C_\infty (Q(B))$ be the commutative unital algebra of all continuous functions $x: Q(B) \to [-\infty, +\infty]$, assuming possibly the values $\pm\infty$ on nowhere-dense subsets of $Q(B)$. …”
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Best Proximity Point for Generalized and S-Geraphty Contractions by Abdelhafid Bassou, Taoufik Sabar, Mohamed Aamri

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Higher Ring Derivation and Intuitionistic Fuzzy Stability by Ick-Soon Chang

“…We take account of the stability of higher ring derivation in intuitionistic fuzzy Banach algebra associated to the Jensen type functional equation. …”
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Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

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