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:
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 important addition to the textbook literature ... it is highly recommended.
— The Mathematical Gazette
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Spese di spedizione:
EUR 2,92
Da: Regno Unito a: Italia
Descrizione libro Hardcover. Condizione: New. BRAND NEW ** SUPER FAST SHIPPING FROM UK WAREHOUSE ** 30 DAY MONEY BACK GUARANTEE. Codice articolo 9783319134666-GDR
Descrizione libro Condizione: New. pp. 449. Codice articolo 26372593138
Descrizione libro Condizione: New. Series: Graduate Texts in Mathematics. Num Pages: 449 pages, 72 black & white illustrations, 7 colour illustrations, biography. BIC Classification: PBF; PBG; PBMS. Category: (G) General (US: Trade). Dimension: 246 x 167 x 23. Weight in Grams: 786. . 2015. 2nd ed. 2015. Hardcover. . . . . Codice articolo V9783319134666
Descrizione libro Condizione: New. pp. 449. Codice articolo 373485101
Descrizione libro hardback. Condizione: New. Language: ENG. Codice articolo 9783319134666
Descrizione libro Condizione: new. Codice articolo d8536767a98506640e5af3ebc1dbb157
Descrizione libro HRD. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo GB-9783319134666
Descrizione libro Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 algebrasmotivation 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 algebrasa self-contained construction of the representations of compact groups, independent of Lie-algebraic argumentsThe 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 important addition to the textbook literature . it is highly recommended.- The Mathematical Gazette 449 pp. Englisch. Codice articolo 9783319134666
Descrizione libro HRD. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo GB-9783319134666
Descrizione libro Condizione: New. Codice articolo 23883135-n