## Lie Algebras and Algebraic Groups

**Lie Algebras and Algebraic Groups by Patrice Tauvel**

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.

**Author: Bo0mB0om**

## A Course in Commutative Banach Algebras

**Eberhard Kaniuth, "A Course in Commutative Banach Algebras"**

2008 | pages: 362 | ISBN: 0387724753 | PDF | 3,0 mb

**Author: Bo0mB0om**

## Complex Semisimple Lie Algebras

**Complex Semisimple Lie Algebras By Jean-Pierre Serre**

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.

**Author: Bo0mB0om**

## Foundations of Quantum Theory From Classical Concepts to Operator Algebras

**Klaas Landsman, "Foundations of Quantum Theory: From Classical Concepts to Operator Algebras"**

English | ISBN: 3319517767 | 2017 | 861 pages | PDF | 7 MB

**Author: Bo0mB0om**

## An Introduction to Nonassociative Algebras

**An Introduction to Nonassociative Algebras by Richard D. Schafer**

English | November 15th, 2017 | ASIN: B0778BC78B, ISBN: 1544892969, 0486164179 | 176 Pages | EPUB | 29.89 MB

"An important addition to the mathematical literature contains very interesting results not available in other books; written in a plain and clear style, it reads very smoothly." - Bulletin of the American Mathematical Society

**Author: luixo2014**

## Introduction to Operator Algebras

**Introduction to Operator Algebras by Li Bing-Ren**

English | 1992 | ISBN: 981020941X | 750 pages | Djvu | 4 MB

**Author: chieutuongtu**

## Topology, C-algebras, and String Duality

**Jonathan Rosenberg, "Topology, C*-algebras, and String Duality"**

English | ISBN: 0821849220 | 2009 | 110 pages | PDF scan | 11 MB

**Author: Bo0mB0om**

## An Introduction to Clifford Algebras and Spinors

**An Introduction to Clifford Algebras and Spinors by Jayme Vaz, Roldao da Rocha**

2016 | ISBN: 0198782926 | English | 256 pages | PDF | 2 MB

**Author: Bo0mB0om**

## Affine Hecke Algebras and Orthogonal Polynomials

**Affine Hecke Algebras and Orthogonal Polynomials by I. G. Macdonald**

English | 2003 | ISBN: 0521824729 | 186 Pages | PDF | 1.6 MB

A satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root systems, and depending on two or more parameters, has developed in recent years.

**Author: Bo0mB0om**

## Groups, Rings, Group Rings, and Hopf Algebras

**Jeffrey Bergen, Stefan Catoiu, William Chin, "Groups, Rings, Group Rings, and Hopf Algebras"**

English | ISBN: 1470428059 | 2017 | 294 pages | PDF | 2 MB

**Author: luixo2014**