Results 61 to 70 of about 2,088,433 (326)

Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian function we obtain the corresponding reduced Hamiltonian dynamics. Several examples illustrate the
David Iglesias   +4 more
doaj  

The dynamic of a Lie group endomorphism

open access: yesOpen Mathematics, 2017
For a given endomorphism φ on a connected Lie group G this paper studies several subgroups of G that are intrinsically connected with the dynamic behavior of φ.
Ayala Víctor   +2 more
doaj   +1 more source

Deep Learning on Lie Groups for Skeleton-based Action Recognition

open access: yes, 2017
In recent years, skeleton-based action recognition has become a popular 3D classification problem. State-of-the-art methods typically first represent each motion sequence as a high-dimensional trajectory on a Lie group with an additional dynamic time ...
Huang, Zhiwu   +3 more
core   +1 more source

Lie Group Integrators

open access: yes, 2018
In this survey we discuss a wide variety of aspects related to Lie group integrators. These numerical integration schemes for differential equations on manifolds have been studied in a general and systematic manner since the 1990s and the activity has since then branched out in several different subareas, focussing both on theoretical and practical ...
openaire   +2 more sources

Patient‐specific pharmacogenomics demonstrates xCT as predictive therapeutic target in colon cancer with possible implications in tumor connectivity

open access: yesMolecular Oncology, EarlyView.
This study integrates transcriptomic profiling of matched tumor and healthy tissues from 32 colorectal cancer patients with functional validation in patient‐derived organoids, revealing dysregulated metabolic programs driven by overexpressed xCT (SLC7A11) and SLC3A2, identifying an oncogenic cystine/glutamate transporter signature linked to ...
Marco Strecker   +16 more
wiley   +1 more source

Reduction of Dynamics with Lie Group Analysis

open access: yesAdvances in Mathematical Physics, 2012
This paper is mainly a review concerning singular perturbation methods by means of Lie group analysis which has been presented by the author. We make use of a particular type of approximate Lie symmetries in those methods in order to construct reduced ...
M. Iwasa
doaj   +1 more source

Quantized semisimple Lie groups

open access: yesArchivum Mathematicum
Notes taken from a series of lectures by R.
Fioresi R., Yuncken R.
openaire   +3 more sources

Survivin and Aurora Kinase A control cell fate decisions during mitosis

open access: yesMolecular Oncology, EarlyView.
Aurora A interacts with survivin during mitosis and regulates its centromeric role. Loss of Aurora A activity mislocalises survivin, the CPC and BubR1, leading to disruption of the spindle checkpoint and triggering premature mitotic exit, which we refer to as ‘mitotic slippage’.
Hana Abdelkabir   +2 more
wiley   +1 more source

A modification of Hardy-Littlewood maximal function on Lie groups [PDF]

open access: yesAUT Journal of Mathematics and Computing
For a real-valued function $f$ on a metric measure space $(X,d,\mu)$ the Hardy-Littlewood centered-ball maximal-function of $f$ is given by the `supremum-norm':$$Mf(x):=\sup_{r>0}\frac{1}{\mu(\mathcal{B}_{x,r})}\int_{\mathcal{B}_{x,r}}|f|d\mu.$$In this ...
Maysam Maysami Sadr
doaj   +1 more source

Controllability of affine right-invariant systems on solvable Lie groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 1997
The aim of this paper is to present some recent results on controllability of right-invariant systems on Lie groups. From the Lie-theoretical point of view, we study conditions under which subsemigroups generated by half-planes in the Lie algebra of a ...
Yuri L. Sachkov
doaj   +1 more source

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