Orthogonal Polynomials of Compact Simple Lie Groups by Maryna Nesterenko, Jiří Patera, Agnieszka Tereszkiewicz

“…Recurrence relations are shown for the Lie groups of types A1, A2, A3, C2, C3, G2, and B3 together with lowest polynomials.…”
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Gambling minds: what lies behind the BETS? by César Augusto Trinta Weber, Antonio Geraldo da Silva

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Characterization of Multiplicative Lie Triple Derivations on Rings by Xiaofei Qi

“…As applications, all Lie (triple) derivations on prime rings and von Neumann algebras are characterized, which generalize some known results.…”
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“Here Lies the Possibility of Bodies Turning Elemental”: by Jenny Andrine Madsen Evang

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Graded radical W type Lie algebras I by Ki-Bong Nam

“…We get a new ℤ-graded Witt type simple Lie algebra using a generalized polynomial ring which is the radical extension of the polynomial ring F[x] with the exponential function ex.…”
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On the geometry of Riemannian manifolds with a Lie structure at infinity by Bernd Ammann, Robert Lauter, Victor Nistor

“…We study a generalization of the geodesic spray and give conditions for noncomapct manifolds with a Lie structure at infinity to have positive injectivity radius. …”
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General Helices of AW(k)-Type in the Lie Group by Dae Won Yoon

“…We study curves of AW(k)-type in the Lie group G with a bi-invariant metric. Also, we characterize general helices in terms of AW(k)-type curve in the Lie group G.…”
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High-Risk AI Systems—Lie Detection Application by Konstantinos Kalodanis, Panagiotis Rizomiliotis, Georgios Feretzakis, Charalampos Papapavlou, Dimosthenis Anagnostopoulos

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Sectional and Ricci Curvature for Three-Dimensional Lie Groups by Gerard Thompson, Giriraj Bhattarai

“…Formulas for the Riemann and Ricci curvature tensors of an invariant metric on a Lie group are determined. The results are applied to a systematic study of the curvature properties of invariant metrics on three-dimensional Lie groups. …”
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THEORETICAL MULTIPLE ANALYSIS OF EXTREMAL RESULTS PHENOMENOLOGY LIES by A. Tarasov

Subjects: “…socio-psychological phenomenology lies…”
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Epidural Venous Plexus Engorgement: What Lies Beneath? by Fuldem Yildirim Donmez

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Approximate Homomorphisms and Derivations on Normed Lie Triple Systems by Hark-Mahn Kim, Juri Lee

“…We investigate the generalized Hyers-Ulam stability of homomorphisms and derivations on normed Lie triple systems for the following generalized Cauchy-Jensen additive equation r0f((s∑j=1pxj+t∑j=1dyj)/r0)=s∑j=1p‍f(xj)+t∑j=1d‍f(yj), where r0,s, and  t are nonzero real numbers. …”
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Derivations and Deformations of δ-Jordan Lie Supertriple Systems by Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo

“…Let T be a δ-Jordan Lie supertriple system. We first introduce the notions of generalized derivations and representations of T and present some properties. …”
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Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics by Rudolf Schmid

“…We give a review of infinite-dimensional Lie groups and algebras and show some applications and examples in mathematical physics. …”
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On the Exterior Degree of a Finite-Dimensional Lie Algebra by Afsaneh Shamsaki, Mohsen Parvizi, Ahmad Erfanian

“…In this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field Fq and give upper and lower bounds. …”
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Lie Triple Derivations on 𝒥-Subspace Lattice Algebras by Ting Wang, Fangyan Lu

“…We describe the structure of Lie triple derivations on 𝒥-subspace lattice algebras. …”
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L∞-Estimates of the Bergman projection in the Lie ball of ℂn by Cyrille Nana

“…This paper is twofold: on one side we develop transfer methods between these bounded domains and their Cayley transform; on the other side we give a new range of q such that the Bergman projection is bounded from L∞(ℬn) to Lq(ℬn) where ℬn is the Lie ball of ℂn.…”
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Classification of the Quasifiliform Nilpotent Lie Algebras of Dimension 9 by Mercedes Pérez, Francisco P. Pérez, Emilio Jiménez

“…On the basis of the family of quasifiliform Lie algebra laws of dimension 9 of 16 parameters and 17 constraints, this paper is devoted to identify the invariants that completely classify the algebras over the complex numbers except for isomorphism. …”
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›Tonfelder‹ und traditionelle Tonalität. Beobachtungen zu Schuberts Lied Der Atlas by Markus Sotirianos

“…Anhand von Schuberts Lied Der Atlas wird gezeigt, dass ein ›Tonfeld‹ (im Sinne der Theorie Albert Simons) nicht nur den übergeordneten formalen Ablauf eines Stückes organisieren, sondern auch in zahlreichen Details des Tonsatzes zu finden sein kann. …”
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Lying flat to play on smartphone excessively: the role of self-esteem by Shuhua Zhu, Lishen Wang, Yulu Gan

Subjects: “…lying flat…”
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