**Lie groups and Lie algebras**

by N. Reshetikhin, V. Serganova, R. Borcherds

**Publisher**: UC Berkeley 2006**Number of pages**: 179

**Description**:

From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; The PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.

Download or read it online for free here:

**Download link**

(1.5MB, PDF)

## Similar books

**Algebraic Groups, Lie Groups, and their Arithmetic Subgroups**

by

**J. S. Milne**

This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those in this book can all be realized as groups of matrices.

(

**8035**views)

**Introduction to Groups, Invariants and Particles**

by

**Frank W. K. Firk**-

**Orange Grove Texts Plus**

This is an introduction to group theory, with an emphasis on Lie groups and their application to the study of symmetries of the fundamental constituents of matter. The text was written for seniors and advanced juniors, majoring in the physical sciences.

(

**14236**views)

**Finite Rank Torsion Free Modules Over Dedekind Domains**

by

**E. Lee Lady**-

**University of Hawaii**

Contents: Modules Over Commutative Rings; Fundamentals; Rank-one Modules and Types; Quasi-Homomorphisms; The t-Socle and t-Radical; Butler Modules; Splitting Rings and Splitting Fields; Torsion Free Rings; Quotient Divisible Modules; etc.

(

**5522**views)

**Thin Groups and Superstrong Approximation**

by

**Emmanuel Breuillard, Hee Oh (eds.)**-

**Cambridge University Press**

This book focuses on recent developments concerning various quantitative aspects of thin groups. It provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics.

(

**2431**views)