Jordan Structures In Lie Algebras

Download or read book Jordan Structures in Lie Algebras written by Antonio Fernández López and published by . This book was released on 2019 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores applications of Jordan theory to the theory of Lie algebras. It begins with the general theory of nonassociative algebras and of Lie algebras and then focuses on properties of Jordan elements of special types. Then it proceeds to the core of the book, in which the author explains how properties of the Jordan algebra attached to a Jordan element of a Lie algebra can be used to reveal properties of the Lie algebra itself. One of the special features of this book is that it carefully explains Zelmanov's seminal results on infinite-dimensional Lie algebras from this point of vie.