Results 21 to 30 of about 882 (253)
On the extensions of infinite-dimensional representations of Lie semigroups
International Journal of Mathematics and Mathematical Sciences, 2002 The necessary and sufficient conditions have been obtained for extendability of a Banach representation of a generating Lie semigroup S to a local representation of the Lie group G generated by S when the tangent wedge of S is a Lie semialgebra. The most
Adolf R. Mirotin
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From homogeneous metric spaces to Lie groups
Comptes Rendus. MathématiqueWe study homogeneous metric spaces, by which we mean connected, locally compact metric spaces whose isometry group acts transitively.After a review of a number of classical results, we use the Gleason–Iwasawa–Montgomery–Yamabe–Zippin structure theory to ...
Cowling, Michael G. +4 more
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On Translation Curves and Geodesics in
Mathematics, 2023 A translation curve in a homogeneous space is a curve such that for a given unit vector at the origin, translation of this vector is tangent to the curve in its every point.
Zlatko Erjavec, Marcel Maretić
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An extention of Nomizu’s Theorem –A user’s guide–
Complex Manifolds, 2016 For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ\G, C) of the solvmanifold Γ\G.
Kasuya Hisashi
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Geodesics and Translation Curves in
Mathematics, 2023 A translation curve in a Thurston space is a curve such that for given unit vector at the origin, the translation of this vector is tangent to the curve in every point of the curve. In most Thurston spaces, translation curves coincide with geodesic lines.
Zlatko Erjavec
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Exponential Radicals of Solvable Lie Groups
Journal of Algebra, 2002 For any connected Lie group \(G\), we consider the metric induced by some left-invariant Riemannian structure on \(G\). An element \(g\) of \(G\) is said to be strictly exponentially distorted in \(G\) if the length of \(g^n\) in \(G\) grows as \(\log(|n|+ 1)\).
openaire +1 more source
Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
FEBS Letters, EarlyView.Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
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Solvability and Nilpotency of Lie Algebras in Cryptography and Steganography
MathematicsThis paper investigates the role of solvable and nilpotent Lie algebras in the domains of cryptography and steganography, emphasizing their potential in enhancing security protocols and covert communication methods.
Amor Hasić +3 more
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Boundedness control sets for linear systems on Lie groups
Open Mathematics, 2018 Let Σ be a linear system on a connected Lie group G and assume that the reachable set 𝓐 from the identity element e ∈ G is open. In this paper, we give an algebraic condition to warrant the boundedness of the existent control set with a nonempty interior
Ayala Víctor, Todco María Torreblanca
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Liver organoids: modelling complexity in homeostasis and disease
FEBS Letters, EarlyView.Studying liver in vitro has been challenging because simple 2D cell cultures fail to capture liver's cellular and architectural complexity. To bridge this gap, scientists increasingly use organoids, 3D liver models which better mimic liver composition and function. This review examines recent advances in liver organoid complexity and realism, discusses
Anna M. Dowbaj, Meritxell Huch
wiley +1 more source