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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 ie closed subgroups of real and complex general linear groups the first part studies examples and describes the classical families of simply connected compact groups the second part introduces the idea of a lie group and studies the associated notion of a homogeneous space using orbits of smooth . An introduction to lie theory through matrix groups brenden collins abstract in this paper we prove that matrix groups are manifolds and use them as a special case to introduce the concepts of lie groups lie algebras and the exponential map contents 1 introduction 1 2 introduction to matrix groups 1 3 lie algebras and the exponential map 4 4 matrix groups are manifolds 9. Matrix groups an introduction to lie group theory springer undergraduate mathematics series amazonde baker andrew fremdsprachige bucher wahlen sie ihre cookie einstellungen wir verwenden cookies und ahnliche tools um ihr einkaufserlebnis zu verbessern um unsere dienste anzubieten um zu verstehen wie die kunden unsere dienste nutzen damit wir verbesserungen vornehmen konnen . Matrix groups an introduction to lie group theory by baker andrew 1953 publication date 2002 topics matrix groups publisher new york springer collection inlibrary printdisabled trent university internetarchivebooks digitizing sponsor kahle austin foundation contributor internet archive language english xi 330 p 24 cm includes bibliographical references and index access restricted