The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic.

Editorial Board

Lev...

Provides an exposition of orthoganal decompositions of complex simple Lie algebras and associated invariant Euclidean lattices. The text is divided into two parts. In Part I, the main result is the complete classification of complex simple Lie algebras admitting orthogonal decompositions with irredu