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Könyv Lie Groups Wulf Rossmann

Lie Groups

An Introduction Through Linear Groups

Szerző: Wulf Rossmann
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Oxford University Press
Elérhetőség: Beszállítói készleten
Küldés 10-18 napon belül
30 119 Ft
Lie Groups is intended as an introduction to the theory of Lie groups and their representations at t...

Információk a könyvről

Szerző
Wulf Rossmann
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2006
oldal
276
EAN
9780199202515
ISBN
0199202516
Enbook ID
04529361
Kiadó
Oxford University Press
Súly
394
Méretek
158 x 234 x 15

Teljes leírás

Lie Groups 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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