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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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2001
Abstract Lie’s work comes out of problems related to differential equations, partial differential equations, and differential geometry; the subject was to become increasingly one of the busiest intersections of algebra, analysis, and geometry.
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Abstract Lie’s work comes out of problems related to differential equations, partial differential equations, and differential geometry; the subject was to become increasingly one of the busiest intersections of algebra, analysis, and geometry.
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Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
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