Lie-triple-systems-Innovations

Lie triple systems have natural embeddings into certain canonical Lie algebras, the so-called “standard” and “universal” embeddings, and any Lie triple system can be shown to arise precisely as the −1-eigenspace of an involution (an automorphism which squares to the identity) on some Lie algebra. A remarkable number of different numerical algorithms can be understood and analyzed using the concepts of Lie triple systems, which are well known in differential geometry from the study of spaces of constant curvature and their tangents. This theory can be used to unify a range of different topics, such as polar-type matrix decompositions, splitting methods for computation of the matrix exponential, composition of self adjoint numerical integrators and dynamical systems with symmetries and reversing symmetries. Innovations are new idea, device or process. Innovations are the application of better solutions that meet new requirements, inarticulated needs or existing market needs. It is proficient through more effective products, processes, services, technologies, or new ideas that are readily available to markets, governments and society. Innovations are something original and novel, as a significant, new that breaks into the market or society. OMICS Group is a scientific organization and online publishing house that drives the progress of research through freely available open access journals and international conferences. With 700+ peer-reviewed journals in its list and many expert reviewers and scientists in its editorial board OMICS Group is among the best open access publishers of the world. Also, OMICS Group organizes more than 3000+ International Scientific Conferences annually and provides eBooks, and additional services such as ScholarsCentral. OMICS Group has got support of more than 1000+ Scientific associations, 50,000+ editorial board members and 15 million readers.

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Last date updated on September, 2024