Posted by **AvaxGenius** at July 3, 2018

English | PDF | 2005 | 650 Pages | ISBN : 3540241701 | 6.09 MB

The theory of Lie algebras and algebraic groups has been an area of active research in the last 50 years. It intervenes in many different areas of mathematics: for example invariant theory, Poisson geometry, harmonic analysis, mathematical physics. The aim of this book is to assemble in a single volume the algebraic aspects of the theory so as to present the foundation of the theory in characteristic zero. Detailed proofs are included and some recent results are discussed in the last chapters. All the prerequisites on commutative algebra and algebraic geometry are included.

Posted by **Tamaar** at June 29, 2018

Posted by **AvaxGenius** at June 5, 2018

English | PDF | 2005 | 650 Pages | ISBN : 3540241701 | 6.09 MB

The theory of Lie algebras and algebraic groups has been an area of active research in the last 50 years. It intervenes in many different areas of mathematics: for example invariant theory, Poisson geometry, harmonic analysis, mathematical physics. The aim of this book is to assemble in a single volume the algebraic aspects of the theory so as to present the foundation of the theory in characteristic zero. Detailed proofs are included and some recent results are discussed in the last chapters. All the prerequisites on commutative algebra and algebraic geometry are included.

Posted by **leonardo78** at May 12, 2018

Language: English | 1992 | ISBN: 3540551956 | 334 pages | DJVU | 2,17 MB

The papers in this collection, all fully refereed, original papers, reflect many aspects of recent significant advances in homotopy theory and group cohomology.

Posted by **AvaxGenius** at March 28, 2018

English | True PDF | 2001 | 85 Pages | ISBN : 364263222X | 4.36 MB

These short notes, already well-known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers, including classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and linear representations. The last chapter discusses the connection between Lie algebras, complex groups and compact groups; it is intended to guide the reader towards further study.

Posted by **AvaxGenius** at Jan. 8, 2018

English | EPUB | 2013 | 551 Pages | ISBN : 146148023X | 8.2 MB

This book is intended for a one-year graduate course on Lie groups and Lie algebras. The book goes beyond the representation theory of compact Lie groups, which is the basis of many texts, and provides a carefully chosen range of material to give the student the bigger picture. The book is organized to allow different paths through the material depending on one's interests. This second edition has substantial new material, including improved discussions of underlying principles, streamlining of some proofs, and many results and topics that were not in the first edition.

Posted by **viserion** at Sept. 28, 2017

ISBN: 311043542X | 2016 | PDF | 360 pages | 2 MB

Posted by **nebulae** at Sept. 15, 2017

English | ISBN: 1470410230 | 2015 | 258 pages | PDF | 2 MB

Posted by **Nice_smile)** at Feb. 14, 2017

English | 2000 | ISBN: 147041225X | 260 Pages | DJVU | 2.14 MB

Posted by **roxul** at Feb. 12, 2017

2013 | ISBN-10: 364236215X | PDF | 341 pages | 4,3 MB