Die Lieschen Gruppen in Der Modernen Mathematik / Mathematische Probleme Der Modernen Wellenoptik

The author describes the development of the Lie groups and their ad- vancement into the modern mathematics. At the end of the last century Sophus Lie investigated in his voluminous work the local properties of the Lie groups. Not before about 1925 mathematicians, instigated by E. Cartan and H. Weyl, engaged in researching their global structure. Very soon the conception of Lie groups triumphantly advanced within the whole scope of mathematics.