## 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**

## Introduction to Relation Algebras Relation Algebras, Volume 1

**Introduction to Relation Algebras: Relation Algebras, Volume 1 By Steven Givant**

English | PDF | 2017 | 596 Pages | ISBN : 3319652346 | 5.51 MB

The first volume of a pair that charts relation algebras from novice to expert level, this text offers a comprehensive grounding for readers new to the topic. Upon completing this introduction, mathematics students may delve into areas of active research by progressing to the second volume, Advanced Topics in Relation Algebras; computer scientists, philosophers, and beyond will be equipped to apply these tools in their own field.

**Author: Bo0mB0om**

## Advanced Topics in Relation Algebras Relation Algebras, Volume 2

**Advanced Topics in Relation Algebras: Relation Algebras, Volume 2 By Steven Givant**

English | PDF | 2017 | 621 Pages | ISBN : 3319659448 | 6.22 MB

The second volume of a pair that charts relation algebras from novice to expert level, this text brings the well-grounded reader to the frontiers of research. Building on the foundations established in the preceding Introduction to Relation Algebras, this volume advances the reader into the deeper mathematical results of the past few decades. Such material offers an ideal preparation for research in relation algebras and Boolean algebras with operators.

**Author: Bo0mB0om**