Titlebook: Matrix Groups; An Introduction to L Andrew Baker Textbook 2002 Springer-Verlag London 2002 Group theory.Lie group.Lie groups.Matrix.Matrix

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Exponentials, Differential Equations and One-parameter Subgroups Just as in the theory of ordinary differential equations, matrix exponential functions also play a central rôle in the theory of certain types of differential equations for matrix-valued functions and these are important in many applications of Lie theory.

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Homogeneous Spaces smooth manifold since that would require somewhat more differential geometry than we have developed. Instead we focus on homogeneous spaces arising as orbits for smooth group actions and these can be studied as submanifolds.

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Clifford Algebras and Spinor Groupsplaced by a Clifford algebra and a suitable class of . generalising complex analytic functions is studied; motivation for this is provided by the above applications. The groups of units in Clifford algebras contain the . which we define and also show how they provide double coverings of the special orthogonal groups.

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1615-2085 introduction to Lie groups and serves as a foundation for aAimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a more substantial further course. Lie theoretic ideas lie at the heart of much of standard un

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Textbook 2002re substantial further course. Lie theoretic ideas lie at the heart of much of standard undergraduate linear algebra and exposure to them can inform or motivate the study of the latter..The main focus is on matrix groups, i.e., closed subgroups of real and complex general linear groups. The first pa

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https://doi.org/10.1007/978-1-4471-0183-3Group theory; Lie group; Lie groups; Matrix; Matrix groups; algebra; differential geometry; linear algebra;