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The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics.
This volume collects a few self-contained and peer-reviewed papers by experts which present up-to-date research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory...

The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics.
This volume collects a few self-contained and peer-reviewed papers by experts which present up-to-date research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory...

Offering a treatment appropriate for a graduate-level course in Lie groups and Lie algebras, Hossein (Max Planck Institute for Math, Germany) and Moskowitz (City U. of New York) have excluded some subjects, among them the theory of faithful represntation, classification of the complex cimple Lie algebras, universal enveloping algebra, weyl character formula, and branching theorems. Students would be well served by a graduate course in topology first. The book includes exercises (no answers). Thorough indexing makes the text useful as a reference as well as a coursebook.

Provides a comprehensive treatment of basic Lie theory, primarily directed toward graduate study. The text is suitable for a full graduate course in Lie groups and Lie algebras.