Lie algebras and lie groups - Jean-Pierre Serre

Lie algebras and lie groups - Jean-Pierre Serre

Lie algebras and lie groups - Jean-Pierre Serre



Lie Algebras and Lie Groups 1964 Lectures given at Harvard University. Authors (view affiliations) Jean-Pierre Serre; Book. 117 Citations; 2 Mentions; 53k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume 1500) Buying options. …

terized the Lie algebras of algebraic groups, and essentially proved that group varieties are rational (in characteristic zero). ENGEL (1861–1941). In collaborating with Lie on the three-volume Theorie der Transfor-mationsgruppen and editing Lie’s collected works, he helped put Lie’s ideas into coherent form and make them more accessible. E. CARTAN (1869–1951). Corrected and completed ...

Filtered Groups and Lie Algebras. Pages 6-10. Serre, Jean-Pierre. Preview Buy Chapter 25,95 € Universal Algebra of a Lie Algebra. Pages 11-17. Serre, Jean-Pierre. Preview Buy Chapter 25,95 € Free Lie Algebras. Pages 18-30. Serre, Jean-Pierre. Preview Buy Chapter 25,95 € Nilpotent and Solvable Lie Algebras. Pages 31-43. Serre, Jean-Pierre. Preview Buy Chapter 25,95 € Semisimple Lie ...

Jean-Pierre Serre Harvard, Fall l 964 . Contents 1. Lie Algebras: Definitions and Examples Z. Filtered Groups and Lie Algebras I. Formulae on commutators Z. Filtrations on a group 3. Integral filtratiom on a group 4. Filtrations in GL(n) Exercises 3. Universal Algebra of a Lie Algebra I. Definition Z. Functorial properties 3. S_ymmetric algebra of a module Z. I Z.2 z.~ z. i6 z. 7 3. I 3. z 3.3 ...

Lie algebras and Lie groups / Jean-Pierre Serre. Author Serre, Jean-Pierre, 1926-Format Book; Language English; Published/ Created Berlin ; New York : Springer-Verlag, c1992. Description vii, 168 p. ; 25 cm. Details Subject(s) Lie algebras; Lie groups; Series. Lecture notes in mathematics (Springer-Verlag) ; 1500. [More in this series] Lecture notes in mathematics ; 1500 ; Notes Originally ...

Jean-Pierre Serre Harvard, Fall 1964 Chapter I. Lie Algebras: Definition and Examples Let Ie be a commutativering with unit element, and let A be a k-module, then A is said to be a Ie-algebra if there is given a k-bilinear map A x A A (i.e., a k-homomorphism A0" A -] A). As usual we may define left, right and two-sided ideals and therefore quo- tients. Definition 1. A Lie algebra over Ie isan ...

Issue 1500 of Lie Algebras and Lie Groups, Jean-Pierre Serre Lie Algebras and Lie Groups: 1964 Lectures Given at Harvard University, Jean-Pierre Serre: Author: Jean-Pierre Serre: Contributor: Harvard University: Edition: illustrated, reprint, revised: Publisher: Springer Science & Business Media, 1992: ISBN: 3540550089, 9783540550082: Length: 168 pages : Subjects: Mathematics › Algebra ...

Lie Groups and Lie Algebras for Physicists Harold Steinacker Lecture Notes1, spring 2019 University of Vienna Fakult at fur Physik Universit at Wien Boltzmanngasse 5, A-1090 Wien, Austria Email: [email protected] 1These notes are un- nished and undoubtedly contain many mistakes. They are are not intended for publication in its present form, but may serve as a hopefully useful ...

Linear Representations of Semisimple Lie Algebras. Pages 56-65. Serre, Jean-Pierre. Preview Buy Chapter 25,95 € Complex Groups and Compact Groups. Pages 66-71. Serre, Jean-Pierre. Preview Buy Chapter 25,95 € Show next xx. Read this book on SpringerLink Download Table of contents TXT (2.8 KB) Download Table of contents PDF (221.7 KB) Buy this book eBook 42,79 € price for Spain (gross) Buy ...

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