Results 91 to 100 of about 2,128,372 (188)

A Miniature CCA2 Public key Encryption scheme based on non-Abelian factorization problems in Lie Groups [PDF]

open access: yesarXiv, 2016
Since 1870s, scientists have been taking deep insight into Lie groups and Lie algebras. With the development of Lie theory, Lie groups have got profound significance in many branches of mathematics and physics. In Lie theory, exponential mapping between Lie groups and Lie algebras plays a crucial role.
arxiv  

Smooth Lie groups over local fields of positive characteristic need not be analytic

open access: yes, 2004
We describe finite-dimensional smooth Lie groups over local fields of positive characteristic which do not admit an analytic Lie group structure compatible with the given topological group structure, and C^n-Lie groups without a compatible C^{n+1}-Lie ...
Glockner, Helge
core  

Derivation double Lie algebras [PDF]

open access: yesarXiv, 2014
We study classical R-matrices D for Lie algebras L such that D is also a derivation of L. This yields derivation double Lie algebras (L,D). The motivation comes from recent work on post-Lie algebra structures on pairs of Lie algebras arising in the study of nil-affine actions of Lie groups. We prove that there are no nontrivial simple derivation double
arxiv  

The analysis of the suction/injection on the MHD Maxwell fluid past a stretching plate in the presence of nanoparticles by Lie group method

open access: yesOpen Physics, 2015
In this paper, the magnetohydrodynamic (MHD) Maxwell fluid past a stretching plate with suction/ injection in the presence of nanoparticles is investigated.
Cao Limei   +3 more
doaj   +1 more source

Hom-Lie groups of a class of Hom-Lie algebra [PDF]

open access: yesarXiv, 2018
In this paper, the definition of Hom-Lie groups is given and one conntected component of Lie group $GL(V)$, which is not a subgroup of $GL(V)$, is a Hom-Lie group. More, we proved that there is a one-to-one relationship between Hom-Lie groups and Hom-Lie algebras $(\gl(V),[\cdot,\cdot]_\beta,\rm{Ad}_\beta)$.
arxiv  

Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfeld

open access: yes, 2011
The notions of \emph{Poisson Lie group} and \emph{Poisson homogeneous space} are extended to the Dirac category. The theorem of Drinfel$'$d (\cite{Drinfeld93}) on the one-to-one correspondence between Poisson homogeneous spaces of a Poisson Lie group and
Jotz, Madeleine
core  

Jacobi-Lie symmetry in WZW model on the Heisenberg Lie group $H_{4}$ [PDF]

open access: yesarXiv, 2018
We show that the Wess-Zumino-Novikov-Witten (WZW) model on the Heisenberg Lie group $H_{4}$ has Jacobi-Lie symmetry with four dual Lie groups. We construct Jacobi-Lie T-dual sigma models with one of their Jacobi-Lie bialgebra and show that the original model is equivalent to the $H_{4}$ WZW model. The conformality of the dual sigma model up to one-loop
arxiv  

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