Lie Algebras and Algebraic Groups


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.

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A Course in Commutative Banach Algebras


A Course in Commutative Banach Algebras

Eberhard Kaniuth, "A Course in Commutative Banach Algebras"
2008 | pages: 362 | ISBN: 0387724753 | PDF | 3,0 mb

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Complex Semisimple Lie Algebras


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.

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Foundations of Quantum Theory From Classical Concepts to Operator Algebras


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

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An Introduction to Nonassociative Algebras

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
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Introduction to Operator Algebras

Introduction to Operator Algebras

Introduction to Operator Algebras by Li Bing-Ren
English | 1992 | ISBN: 981020941X | 750 pages | Djvu | 4 MB
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Topology, C-algebras, and String Duality


Topology, C-algebras, and String Duality

Jonathan Rosenberg, "Topology, C*-algebras, and String Duality"
English | ISBN: 0821849220 | 2009 | 110 pages | PDF scan | 11 MB

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An Introduction to Clifford Algebras and Spinors


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

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Affine Hecke Algebras and Orthogonal Polynomials


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.

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Groups, Rings, Group Rings, and Hopf Algebras

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
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