Non-Associative Algebra and Its Applications

1st Edition

Lev Sabinin, Larissa Sbitneva, Ivan Shestakov

Chapman and Hall/CRC
Published January 13, 2006
Reference - 552 Pages - 8 B/W Illustrations
ISBN 9780824726690 - CAT# DK3005
Series: Lecture Notes in Pure and Applied Mathematics

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With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences. This book covers material such as Jordan superalgebras, nonassociative deformations, nonassociative generalization of Hopf algebras, the structure of free algebras, derivations of Lie algebras, and the identities of Albert algebra. It also includes applications of smooth quasigroups and loops to differential geometry and relativity.