Results 11 to 20 of about 226,577 (268)
2 × 2 Matrices: Manifolds, Realizations, Applications
Applied Sciences, 2021 Both geometric and wave optical models, as well as classical and quantum mechanics, realize linear transformations with matrices; for plane optics, these are 2×2 and of unit determinant.
Kenan Uriostegui, Kurt Bernardo Wolf
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Transformation Groups, 2018 In this paper we study the Lie theoretic properties of a class of topological groups which carry a Banach manifold structure but whose multiplication is not smooth. If $G$ and $N$ are Banach-Lie groups and $π: G \to \mathrm{Aut}(N)$ is a homomorphism defining a continuous action of $G$ on $N$, then $H := N \rtimes_πG$ is a Banach manifold with a ...
Marquis, T., Neeb, K-H.
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Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The article gives an algorithm for constructing quantum integrals of motion on the basis of well-known classic integrals.To construct quantum integrals, we apply star product of the operators' symbols, which is used in the quantization theory.A non ...
Anton Sergeevich Popov +1 more
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Lie algebras whose Lie groups have negative sectional curvature
Revista Integración, 2022 The aim of this work is to completely describe two families of Lie algebras whose Lie groups have negative sectional curvature. The first family consists of Lie algebras satisfying the following property: given any two vectors in the Lie algebra, the ...
Gil Salgado
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Theoretical model for the diclofenac release from PEGylated chitosan hydrogels
Drug Delivery, 2021 Controlled drug delivery systems are of utmost importance for the improvement of drug bioavailability while limiting the side effects. For the improvement of their performances, drug release modeling is a significant tool for the further optimization of ...
Daniela Ailincai +7 more
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On the Automorphism Group of a Lie Group [PDF]
Proceedings of the American Mathematical Society, 1974 It is proved that the automorphism group of a connected real or complex Lie group contains an open real or complex algebraic subgroup. It follows that the identity component of the group of complex automorphisms of a connected complex Lie group is a complex algebraic group.
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On Lie rings of torsion groups
Bulletin of Mathematical Sciences, 2016 We prove that the Lie ring associated to the lower central series of a finitely generated residually-p torsion group is graded nil.
Consuelo Martínez, Efim Zelmanov
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Bilinear cryptography using Lie algebras from p-groups [PDF]
Mathematics and Computational Sciences, 2021 Pairings are particular bilinear maps, and they have been defined based on elliptic curves whichare abelian groups. In cryptography and security problems use these pairings. Mrabet et al. proposedpairings from a tensor product of groups in 2013.
Elaheh Khamseh
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Differentiable semigroups are Lie groups
International Journal of Mathematics and Mathematical Sciences, 1995 We present here a modern, detailed proof to the following theorem which was introduced by Garrett Birkhoff [1] in 1938. If S is a local semigroup with neighborhood of 1 homeomorphic to a Banach space and with multiplication strongly differentiable at 1 ...
John P. Holmes, Mitch Anderson
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The Affine Group of a Lie Group [PDF]
Proceedings of the American Mathematical Society, 1963 1. If G is a Lie group, then the group Aut(G) of all continuous automorphisms of G has a natural Lie group structure. This gives the semidirect product A(G) = G-Aut(G) the structure of a Lie group. When G is a vector group R", A(G) is the ordinary affine group A(re). Following L. Auslander [l ] we will refer to A(G) as the affine group of G, and regard
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