Nonassociative Algebras

This is a survey article on nonassociative algebras which will appear in the CRC Handbook of Linear Algebra to be published in late 2006. The article has 35 pages and is written in the CRC "handbook format": each section consists of lists of definitions, facts, and examples, with references to the literature for proofs and further information. The article consists of the following sections:

  1. Introduction
  2. General properties
  3. Composition algebras
  4. Alternative algebras
  5. Jordan algebras
  6. Power associative algebras, noncommutative Jordan algebras, and right alternative algebras
  7. Malcev algebras
  8. Akivis and Sabinin algebras
  9. Computational methods
References

M. R. Bremner < bremner@math.usask.ca >

L. I. Murakami < ikemoto@ime.usp.br >

I. P. Shestakov < shestak@ime.usp.br >