Lie Groups, Lie Algebras, and Representations PDF ePub eBook

Books Info:

Lie Groups, Lie Algebras, and Representations free pdf 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 Poincare-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 important addition to the textbook literature ...it is highly recommended. - The Mathematical Gazette

About Brian C. Hall

Brian Hall is Professor of Mathematics at the University of Notre Dame, IN.

Details Book

Author : Brian C. Hall
Publisher : Birkhauser Verlag AG
Data Published : 31 May 2015
ISBN : 3319134663
EAN : 9783319134666
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 449 pages
Age + : 15 years
Language : English
Rating :

Reviews Lie Groups, Lie Algebras, and Representations



17 Comments Add a comment




Related eBooks Download


  • Representation Theory free pdfRepresentation Theory

    The primary goal of these lectures is to introduce a beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists. the concentration of the text is on examples..


  • Symmetries, Lie Algebras and Representations free pdfSymmetries, Lie Algebras and Representations

    This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through examples much of their general structure..


  • Symmetries, Lie Algebras and Representations free pdfSymmetries, Lie Algebras and Representations

    This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through examples much of their general structure..


  • Permutation Groups free pdfPermutation Groups

    Following the basic ideas. standard constructions and important examples in the theory of permutation groups. the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups..


  • Algebraic Model Theory free pdfAlgebraic Model Theory

    Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry. permutation groups. and finite algebras. The present book contains lectures on recent results in algebraic model theory..


  • Lie Groups, Lie Algebras, and Representations free pdfLie Groups, Lie Algebras, and Representations

    Free Epub Books Download. This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory