Results 211 to 220 of about 274,463 (263)

Hom-Lie group and hom-Lie algebra from Lie group and Lie algebra perspective

International Journal of Geometric Methods in Modern Physics, 2021
A hom-Lie group structure is a smooth group-like multiplication on a manifold, where the structure is twisted by a isomorphism. The notion of hom-Lie group was introduced by Jiang et al. as integration of hom-Lie algebra. In this paper we want to study hom-Lie group and hom-Lie algebra from the Lie group’s point of view. We show that some of important
Merati, S., Farhangdoost, M. R.
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Lie-Group and Lie-Algebra Inhomogenizations

Journal of Mathematical Physics, 1968
A systematic formulation of the concept of inhomogenization is given both for Lie groups and for Lie algebras, and the connection between the two structures is clarified in terms of the notion of semidirect product. Special emphasis is devoted to the classification of the inhomogenizations of semisimple Lie algebras. As an application, a lemma due to O'
Berzi, V., Gorini, V.
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Interpolation in Lie Groups

SIAM Journal on Numerical Analysis, 1999
The author discusses variants of Hermite interpolation in Lie group. He also considers continuous extensions to some of the new geometric integration methods by equipping them with continuous weights.
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The Automorphism Group of a Lie Group

Transactions of the American Mathematical Society, 1952
Introduction. The group A (G) of all continuous and open automorphisms of a locally compact topological group G may be regarded as a topological group, the topology being defined in the usual fashion from the compact and the open subsets of G (see ?1). In general, this topological structure of A (G) is somewhat pathological.
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Quantization of Lie Groups and Lie Algebras

1988
Publisher Summary This chapter focuses on the quantization of lie groups and lie algebras. The Algebraic Bethe Ansatz—the quantum inverse scattering method—emerges as a natural development of the various directions in mathematical physics: the inverse scattering method for solving nonlinear equations of evolution, the quantum theory of magnets, the ...
N. YU. RESHETIKHIN, L.A. TAKHTADZHYAN, L. D. FADDEEV   +2 more
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Lie Theory for Non-Lie Groups

Journal of Lie Theory, 1994
This concisely written paper combines a survey of the standard facts about the structure of locally compact groups and their approximation by Lie groups with an exposition of the resulting structural similarities between locally compact groups of finite dimension and Lie groups.
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Groups, Lie Groups, and Lie Algebras

2011
This chapter introduces abstract groups and Lie groups, which are a formalization of the notion of a physical transformation. The chapter begins with a heuristic introduction that motivates the definition of a group and gives an intuitive sense for what an “infinitesimal generator” is.
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