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Title: Interesting title, quite bad book.
Review: The title of this book does not properly correspond to its contents. It is supposed to develop the general theory of nilpotent Lie algebras, but the most part of the book deals with a quite special class of nilpotent algebras, called filiform. Only the first two chapters present some general material, along with a list of nilpotent algebras in low dimensions which is full of mistakes. On the other hand, the authors use many different notations for the same objects, which confuses the reader. The quantity of wrongly ennounced results (due to misprints, etc) is discouraging, and shows how careless the final text has been prepared by the editors. This suffices to give it up.It is a pity, since there is no book dealing with nilpotent algebras only, but certainly this is not the way to write it.
