Results 41 to 50 of about 1,281,981 (325)
AIMS MathematicsIn this article, the investigation into the Lie symmetry algebra of the geodesic equations of the canonical connection on a Lie group was continued. The key ideas of Lie group, Lie algebra, linear connection, and symmetry were quickly reviewed. The focus
Nouf Almutiben +3 more
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From Loop Groups to 2-Groups [PDF]
, 2005 We describe an interesting relation between Lie 2-algebras, the Kac-Moody central extensions of loop groups, and the group String(n). A Lie 2-algebra is a categorified version of a Lie algebra where the Jacobi identity holds up to a natural isomorphism ...
Baez, John C. +3 more
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Molecular determinants of signal transduction in tropomyosin receptor kinases
FEBS Open Bio, EarlyView.Tropomyosin receptor kinases control critical neuronal functions, but how do the same receptors produce diverse cellular responses? This review explores the structural mechanisms behind Trk signaling diversity, focusing on allosteric modulation and ligand bias.
Giray Enkavi
wiley +1 more source
Classification of harmonic homomorphisms between Riemannian three-dimensional unimodular Lie groups [PDF]
Arab Journal of Mathematical SciencesPurpose – The purpose of this study is to classify harmonic homomorphisms ϕ : (G, g) → (H, h), where G, H are connected and simply connected three-dimensional unimodular Lie groups and g, h are left-invariant Riemannian metrics.
Zagane Abdelkader +2 more
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, 2013 Global dimensions for fusion categories defined by a pair (G,k), where G is a Lie group and k a positive integer, are expressed in terms of Lie quantum superfactorial functions.
Coquereaux, Robert
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FEBS Open Bio, EarlyView.What factors make for an effective digital learning tool in Higher Education? This systematic review identifies elements of a digital tool that published examples reveal to be features of an engaging and impactful digital tool. A systematic literature search yielded 25 research papers for analysis.
Akmal Arzeman +4 more
wiley +1 more source
About Periodic Shunkov Group Saturated with Finite Simple Groups of Lie Type Rank 1
Известия Иркутского государственного университета: Серия "Математика", 2016 The property of group G to be saturated with given set of groups X is a natural generalization of locally-cover definition (in class of locally finite groups) on periodic groups. Locally-finite group, witch has a locally-cover contains from finite simple
A. Shlepkin
doaj
A Classification of Compact Cohomogeneity One Locally Conformal Kähler Manifolds
MathematicsIn this paper, we apply a result of the classification of a compact cohomogeneity one Riemannian manifold with a compact Lie group G to obtain a classification of compact cohomogeneity one locally conformal Kähler manifolds.
Daniel Guan
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Aging and Cancer, EarlyView.This study underscores the significant influence of frailty and vitality on the subjective health experience of older cancer survivors with acceptance and control emerging as salient mediators. These findings affirm the conceptual and empirical robustness of the model highlighting its potential utility in shaping future interventions for older cancer ...
Damien S. E. Broekharst +4 more
wiley +1 more source
Cartan–Gram determinants for the simple Lie groups [PDF]
Journal of Mathematical Physics, 1982 The Cartan–Gram determinants for the simple root systems are evaluated for the simple Lie groups An, Bn, Cn, Dn, and Ek (k=6,7,8). The determinants satisfy a linear recursion relation which turns out to be the same for all these groups. For the En family, the Cartan–Gram determinant contains an explicit factor of (9−n) which vanishes for n=9 and is ...
Alfred C. T. Wu
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