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Lie Groups Lie Algebras and Representations An Elementary Introduction

Name: Lie Groups Lie Algebras and Representations
Author: Brian Hall

Auteur: Brian Hall

Taal: Engels

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Auteur: Brian Hall Onbekend

Co-auteur: Onbekend Brian C. Hall Hall Brian Hall

Engels
Hardcover
9783319134666
22 mei 2015
449 pagina's

Alle productspecificaties

Brian Hall

Brian Hall is the author of three novels, including I Should Be Extremely Happy in Your Company, his acclaimed story of the Lewis and Clark expedition, as well as three works of nonfiction.

Alles van Brian Hall

Samenvatting

This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.

In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including:

a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras
motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C)
an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras
a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments

The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula.

Review of the first edition:

“This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an importantaddition to the textbook literature ... it is highly recommended.”

— The Mathematical Gazette

Productspecificaties

Inhoud

Taal: en
Bindwijze: Hardcover
Oorspronkelijke releasedatum: 22 mei 2015
Aantal pagina's: 449
Illustraties: Nee

Betrokkenen

Hoofdauteur: Brian Hall
Tweede Auteur: Onbekend
Co Auteur: Brian Hall
Hoofduitgeverij: Springer International Publishing Ag

Vertaling

Originele titel: Matrix Lie Groups and Their Representations

Overige kenmerken

Editie: 2
Extra groot lettertype: Nee
Product breedte: 155 mm
Product lengte: 235 mm
Studieboek: Ja
Verpakking breedte: 161 mm
Verpakking hoogte: 22 mm
Verpakking lengte: 248 mm
Verpakkingsgewicht: 737 g

EAN

EAN: 9783319134666

Je vindt dit artikel in

Categorieën: Wetenschap & Natuur

Wiskunde

Algebra

Groepstheorie

Topologie

Boeken
Taal: Engels
Beschikbaarheid: Leverbaar
Boek, ebook of luisterboek?: Boek
Studieboek of algemeen: Algemene boeken

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