Leibniz algebras have been a main focus of researchers for the past few decades. The authors, Ayupov, Omirov and Rakhimov, are principal developers of this theory. As such, they are able to provide a complete picture, from foundations to recent advances. They do so in a highly motivating treatise. Their writing is both illuminating and cutting edge. Whether wanting to get into the subject or see the most recent important results, this book is the place to go for it. It will be a must for all people working in the area.
- Professor Ernest Stitzinger, NC State University
This reference book is a self-contained exposition of the state of the art in the theory of Leibniz algebras. It develops the classical theory of Leibniz algebras as an extension of the classical one for Lie algebras. [. . . .] The present book can be used as a textbook for graduate students or as a reference for researchers in Leibniz algebras and neighboring areas.
- Professor Antonio J. Calderon Martin, Universidad de Cadiz
This book provides an excellent and detailed exposition on the structural theory of Leibniz algebras and a very clear description of algebraic and geometric classification techniques for Leibniz algebras.
-Professor Jose Manuel Casas Miras, Universidade de Vigo
This new book is an essential resource for scientists in the area of non-associative algebras. It contains clear explanations and useful mathematical techniques in this area. Moreover, this book is the first Leibniz algebra book. This book is going to act as a reference book for PhD students or young researchers.
-Professor Luisa Camacho Santana, Universidad de Sevilla
The theory of Leibniz algebras is one of the most actively developing areas of modern algebra, and until now there were no books devoted to the structural description of Leibniz algebras. Leibniz Algebras: Structure and Classification fills that gap, and provides an introduction to the theory of Leibniz algebras. This book is an original, and the first one in its field. It is well organized and methodically written. The book could be of great interest for students specializing in Algebra.
-Professor Farrukh Mukhamedov, United Arab Emirates University
Leibniz algebras have been a main focus of researchers for the past few decades. The authors, Ayupov, Omirov and Rakhimov, are principal developers of this theory. As such, they are able to provide a complete picture, from foundations to recent advances. They do so in a highly motivating treatise. Their writing is both illuminating and cutting edge. Whether wanting to get into the subject or see the most recent important results, this book is the place to go for it. It will be a must for all people working in the area.
- Professor Ernest Stitzinger, NC State University
This reference book is a self-contained exposition of the state of the art in the theory of Leibniz algebras. It develops the classical theory of Leibniz algebras as an extension of the classical one for Lie algebras. [. . . .] The present book can be used as a textbook for graduate students or as a reference for researchers in Leibniz algebras and neighboring areas.
- Professor Antonio J. Calderon Martin, Universidad de Cadiz
This book provides an excellent and detailed exposition on the structural theory of Leibniz algebras and a very clear description of algebraic and geometric classification techniques for Leibniz algebras.
-Professor Jose Manuel Casas Miras, Universidade de Vigo
This new book is an essential resource for scientists in the area of non-associative algebras. It contains clear explanations and useful mathematical techniques in this area. Moreover, this book is the first Leibniz algebra book. This book is going to act as a reference book for PhD students or young researchers.
-Professor Luisa Camacho Santana, Universidad de Sevilla
The theory of Leibniz algebras is one of the most actively developing areas of modern algebra, and until now there were no books devoted to the structural description of Leibniz algebras. Leibniz Algebras: Structure and Classification fills that gap, and provides an introduction to the theory of Leibniz algebras. This book is an original, and the first one in its field. It is well organized and methodically written. The book could be of great interest for students specializing in Algebra.
-Professor Farrukh Mukhamedov, United Arab Emirates University