Lie Algebras and Algebraic Groups

✍ Scribed by Patrice Tauvel, Rupert W. T. Yu

Publisher: Springer
Year: 2005
Tongue: English
Leaves: 649
Series: Springer Monographs in Mathematics
Edition: 1
Category: Library

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

Algebras, bialgebras, quantum groups, an

📁 Algebras, bialgebras, quantum groups, and algebraic deformation

✍ Gerstenhaber M., Schack D. 📂 Library 📅 1992 🏛 Contemp 🌐 English

This paper is an expanded version of remarks delivered by the authors in lectures at the June, 1990 Amherst conference on Quantum Groups. There we were asked to describe, in so far as possible, the basic principles and results, as well as the present state, of algebraic deformation theory. So this p

Lie Algebras and Algebraic Groups

📁 Lie Algebras and Algebraic Groups

✍ Patrice Tauvel, Rupert W. T. Yu 📂 Library 📅 2005 🏛 Springer 🌐 English

<P>Devoted to the theory of Lie algebras and algebraic groups, this book includes a large amount of commutative algebra and algebraic geometry so as to make it as self-contained as possible. The aim of the book is to assemble in a single volume the algebraic aspects of the theory, so as to present t

Lie Algebras and Algebraic Groups

📁 Lie Algebras and Algebraic Groups

✍ Patrice Tauvel, Rupert W. T. Yu 📂 Library 📅 2005 🏛 Springer 🌐 English

Lie Algebras and Algebraic Groups

📁 Lie Algebras and Algebraic Groups

✍ Patrice Tauvel, Rupert W. T. Yu 📂 Library 📅 2005 🏛 Springer 🌐 English

The theory of Lie algebras and algebraic groups has been an area of active research for 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 vo

Algebraic Groups and Modular Lie Algebra

📁 Algebraic Groups and Modular Lie Algebras

✍ J. E. Humphrey 📂 Library 📅 1967 🏛 Amer Mathematical Society 🌐 English

Jordan algebras and algebraic groups

📁 Jordan algebras and algebraic groups

✍ Springer, Tonny Albert 📂 Library 📅 1973 🏛 Springer-Verlag 🌐 English

<P>From the reviews: "This book presents an important and novel approach to Jordan algebras. […] Springer's work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techni