The theory of Lie groups relies on Cartan's theorem on the equivalence of the category of simply connected Lie groups to that of Lie algebras. This book presents the proof of the Cartan theorem and the main results. The branches of the theory of Lie...
After the Russian edition of this book appeared some of my fellow Lecturers asserted that many of the Lectures in the book are far too long to be physically delivered during the allowed two teaching periods. By the right of friendship I had to remind them...
This book is a direct continuation of the author's previous book* and is akin to it in being a nearly faithful record of the Lectures delivered by the author in the second semester of the first, year at the Mathematics-Mechanics Faculty of Moscow State...