Lie Groups: An Introduction Through Linear Groups: 5 (Oxford Graduate Texts in Mathematics) - Hardcover

Rossmann, Wulf

Hardcover

ISBN 10: 0198596839 ISBN 13: 9780198596837

Verlag: OUP Oxford, 2002

Inhaltsangabe

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. The correspondence between linear Lie groups and Lie algebras is developed in its local and global aspects. The classical groups are analysed in detail, first with elementary matrix methods, then with the help of the structural tools typical of the theory of semisimple groups, such as Cartan subgroups, roots, weights, and reflections. The fundamental groups of the classical groups are worked out as an application of these methods. Manifolds are introduced when needed, in connection with homogeneous spaces, and the elements of differential and integral calculus on manifolds are presented, with special emphasis on integration on groups and homogeneous spaces. Representation theory starts from first principles, such as Schur's lemma and its consequences, and proceeds from there to the Peter- Weyl theorem, Weyl's character formula, and the Borel-Weil theorem, all in the context of linear groups.

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Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

Details zur Ausgabe

• Verlag: OUP Oxford
• Erscheinungsdatum: 2002
• Sprache: Englisch
• ISBN 10: 0198596839
• ISBN 13: 9780198596837
• Einband: Tapa dura
• Anzahl der Seiten: 276
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Penguin Random House Ireland Limited; productsafety@penguin.co.uk; ; Morrison Chambers, 32 Nassau Street; Dublin; D02 YH68; Irland