An Introduction to Lie Groups and Lie Algebras (Cambridge - download pdf or read online

By Alexander Kirillov

ISBN-10: 0521889693

ISBN-13: 9780521889698

ISBN-10: 1316614107

ISBN-13: 9781316614105

With roots within the 19th century, Lie idea has due to the fact that came upon many and sundry purposes in arithmetic and mathematical physics, to the purpose the place it really is now considered as a classical department of arithmetic in its personal correct. This graduate textual content specializes in the examine of semisimple Lie algebras, constructing the required idea alongside the best way. the cloth coated levels from uncomplicated definitions of Lie teams to the category of finite-dimensional representations of semisimple Lie algebras. Written in an off-the-cuff sort, this can be a modern creation to the topic which emphasizes the most recommendations of the proofs and descriptions the mandatory technical information, permitting the cloth to be conveyed concisely. in keeping with a lecture direction given by means of the writer on the nation collage of recent York at Stony Brook, the ebook contains various workouts and labored examples and is perfect for graduate classes on Lie teams and Lie algebras.

Show description

Read Online or Download An Introduction to Lie Groups and Lie Algebras (Cambridge Studies in Advanced Mathematics) PDF

Best algebra books

Download PDF by R. B. Bapat: Linear Algebra and Linear Models (Universitext)

This publication offers a rigorous creation to the fundamental facets of the speculation of linear estimation and speculation checking out, protecting the mandatory must haves in matrices, multivariate common distribution and distributions of quadratic varieties alongside the best way. it's going to entice complicated undergraduate and first-year graduate scholars, learn mathematicians and statisticians.

Get Beginning Algebra: Pearson New International Edition PDF

Is there something extra attractive than an “A” in Algebra? to not the Lial group! Marge Lial, John Hornsby, and Terry McGinnis write their textbooks and accompanying assets with one aim in brain: giving scholars and academics the entire instruments they should be successful. With this revision, the Lial staff has additional subtle the presentation and workouts in the course of the textual content.

Affine Ebenen (German Edition) - download pdf or read online

Zu jeder affinen Inzidenzebene, in welcher der große Satz von Desargues gilt (kurz: (D)-Ebene), wird mit Hilfe von Translationen und Streckungen ein zweidimensionaler Vektorraum über einem Schiefkörper hergeleitet. Anders als in der bisherigen Literatur werden diese Abbildungen nicht axiomatisch, sondern konstruktiv eingeführt.

New PDF release: Symmetries and Integrability of Difference Equations:

This booklet exhibits how Lie team and integrability recommendations, initially built for differential equations, were tailored to the case of distinction equations. distinction equations are taking part in an more and more vital position within the typical sciences. certainly, many phenomena are inherently discrete and hence evidently defined through distinction equations.

Additional resources for An Introduction to Lie Groups and Lie Algebras (Cambridge Studies in Advanced Mathematics)

Example text

Download PDF sample

An Introduction to Lie Groups and Lie Algebras (Cambridge Studies in Advanced Mathematics) by Alexander Kirillov


by Thomas
4.3

Rated 4.19 of 5 – based on 25 votes

Categories: Algebra