Results 21 to 30 of about 1,668,111 (289)
Special symplectic Lie groups and hypersymplectic Lie groups [PDF]
, 2010 A special symplectic Lie group is a triple $(G,\omega,\nabla)$ such that $G$ is a finite-dimensional real Lie group and $\omega$ is a left invariant symplectic form on $G$ which is parallel with respect to a left invariant affine structure $\nabla$.
A. Andrada +32 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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Asian Journal of Mathematics, 2014 46 ...
Li-Bland, David, Meinrenken, Eckhard
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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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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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Dense and Sparse 3D Deformation Signatures for 3D Dynamic Face Recognition
IEEE Access, 2021 This work analyses dense and sparse 3D Deformation Signatures to represent 3D temporal deformation instances. The signatures are employed in dynamic 3D face recognition, however, they are applicable in other domains.
Abd El Rahman Shabayek, Djamila Aouada
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Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces
Special Matrices, 2021 We introduce most of the concepts for q-Lie algebras in a way independent of the base field K. Again it turns out that we can keep the same Lie algebra with a small modification.
Ernst Thomas
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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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The Waring problem for Lie groups and Chevalley groups [PDF]
, 2014 The classical Waring problem deals with expressing every natural number as a sum of g(k) k-th powers. Similar problems were recently studied in group theory, where we aim to present group elements as short products of values of a given non-trivial word w.
Hui, Chun Yin +2 more
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Dynamics of Complex Mechanical Systems Based on Lie Groups and Lie algebra
MATEC Web of Conferences, 2016 Adjoint transformations and adjoint operators of Lie groups and Lie algebra are discussed in this paper to study the recursive dynamics of complex systems.
Shao Bing, Yuan Entao
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