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source: It's so blatant 2013年9月9日

The aim of this course is to give a thorough introduction to the theory of Lie groups and algebras.

A Lie group is a group with the additional structure of a differentiable manifold for which the group operation is differentiable. The name Lie group comes from the Norwegian mathematician M. Sophus Lie (1842-1899) who was the first to study these groups systematically in the context of symmetries of partial differential equations.

The theory of Lie groups has developed vastly in the course of the previous century. It plays a vital role in the description of symmetries in Physics (quantum physics, elementary particles), Geometry and Topology, and Number Theory (automorphic forms).

The course was given by prof. dr. Erik van den Ban at the University of Utrecht in the spring of 2012. View complete course (Exercises, Recommended literature, etc) at: http://www.staff.science.uu.nl/~ban00101/lie2012/lie2012....

Lec 1 | Lie Groups (Part 1) 46:34 Section 1: Groups

Section 2: Lie groups, definitions and basic properties

The references (section,corallary,lemma,etc) above are given to 2010 version of lecture notes available at: http://www.staff.science.uu.nl/~ban00...

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