Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Topological groups. Lie groups --- 512.812 --- Lie groups --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- General Lie group theory. Properties, structure, generalizations. Lie groups and Lie algebras --- Lie groups. --- 512.812 General Lie group theory. Properties, structure, generalizations. Lie groups and Lie algebras --- Lie, Groupes de --- Représentations de groupes de Lie

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The representation theory of affine Lie algebras has been developed in close connection with various areas of mathematics and mathematical physics in the last two decades. There are three excellent books on it, written by Victor G. Kac. This book begins with a survey and review of the material treated in Kac's books. In particular, modular invariance and conformal invariance are explained in more detail. The book then goes further, dealing with some of the recent topics involving the representation theory of affine Lie algebras. Since these topics are important not only in themselves but also in their application to some areas of mathematics and mathematical physics, the book expounds them with examples and detailed calculations.

Infinite dimensional Lie algebras. --- Lie algebras. --- Algebras, Lie --- Algebra, Abstract --- Algebras, Linear --- Lie groups --- Lie algebras --- Infinite dimensional Lie algebras --- 512.812 --- 517.986.5 --- 517.986.5 Infinite-dimensional representations of Lie algebras --- Infinite-dimensional representations of Lie algebras --- 512.812 General Lie group theory. Properties, structure, generalizations. Lie groups and Lie algebras --- General Lie group theory. Properties, structure, generalizations. Lie groups and Lie algebras --- Algèbres de Lie de dimension infinie --- Algèbres de Lie

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

512.812 --- 51-7 --- Lie algebras --- Quantum groups --- Conformal invariants --- Mathematical physics --- Quantum field theory --- 530.19 --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Physical mathematics --- Physics --- Conformal invariance --- Invariants, Conformal --- Conformal mapping --- Functions of complex variables --- Enveloping algebras, Quantized --- Function algebras, Quantized --- Groups, Quantum --- Quantized enveloping algebras --- Quantized function algebras --- Quantum algebras --- Group theory --- Algebras, Lie --- Algebra, Abstract --- Algebras, Linear --- Lie groups --- General Lie group theory. Properties, structure, generalizations. Lie groups and Lie algebras --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Mathematics --- Conformal invariants. --- Lie algebras. --- Mathematical physics. --- Quantum field theory. --- Quantum groups. --- 530.19 Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- 512.812 General Lie group theory. Properties, structure, generalizations. Lie groups and Lie algebras --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc