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Hom-Lie group and hom-Lie algebra from Lie group and Lie algebra perspective
International Journal of Geometric Methods in Modern Physics, 2021A 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, 1968A 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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Groups, Lie Groups, and Lie Algebras
2011This 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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2002
Abstract This book is intended as an introduction to the theory of Lie groups and their representations at the advanced undergraduate or beginning graduate level. It covers the essentials of the subject starting from basic undergraduate mathematics.
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Abstract This book is intended as an introduction to the theory of Lie groups and their representations at the advanced undergraduate or beginning graduate level. It covers the essentials of the subject starting from basic undergraduate mathematics.
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1996
Abstract Continuous groups were briefly introduced in Chapter 2 as another category of groups used in physical applications. They consist of an infinite number of elements, in contrast to finite groups, and have numerous applications in quantum mechanics and field theories. Although they have some analogies with finite groups (especially
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Abstract Continuous groups were briefly introduced in Chapter 2 as another category of groups used in physical applications. They consist of an infinite number of elements, in contrast to finite groups, and have numerous applications in quantum mechanics and field theories. Although they have some analogies with finite groups (especially
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Cancer statistics for African American/Black People 2022
Ca-A Cancer Journal for Clinicians, 2022Angela Giaquinto +2 more
exaly
Cancer statistics for the US Hispanic/Latino population, 2021
Ca-A Cancer Journal for Clinicians, 2021Kimberly D Miller +2 more
exaly