Nonassociative Mathematics and Its Applications (Contemporary Mathematics) - Softcover

Softcover

ISBN 10: 1470442450 ISBN 13: 9781470442453

Publisher: American Mathematical Society, 2019

Synopsis

Nonassociative mathematics is a broad research area that studies mathematical structures violating the associative law $x(yz)=(xy)z$. The topics covered by nonassociative mathematics include quasigroups, loops, Latin squares, Lie algebras, Jordan algebras, octonions, racks, quandles, and their applications.

This volume contains the proceedings of the Fourth Mile High Conference on Nonassociative Mathematics, held from July 29-August 5, 2017, at the University of Denver, Denver, Colorado. Included are research papers covering active areas of investigation, survey papers covering Leibniz algebras, self-distributive structures, and rack homology, and a sampling of applications ranging from Yang-Mills theory to the Yang-Baxter equation and Laver tables.

An important aspect of nonassociative mathematics is the wide range of methods employed, from purely algebraic to geometric, topological, and computational, including automated deduction, all of which play an important role in this book.

About this title

About the Author

Petr Vojtechovsky, University of Denver, CO.

Murray R. Bremner, University of Saskatchewan, Saskatoon, SK, Canada.

J. Scott Carter, University of South Alabama, Mobile, AL.

Anthony B. Evans, Wright State University, Dayton, OH.

John Huerta, University of Lisbon, Portugal.

Michael K. Kinyon, University of Denver, CO.

G. Eric Moorhouse, University of Wyoming, Laramie, WY.

Jonathan D. H. Smith, Iowa State University, Ames, IA.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2019
• Language: English
• ISBN 10: 1470442450
• ISBN 13: 9781470442453
• Binding: Paperback
• Number of pages: 299
• Editor: Vojtechovsky Petr, Bremner Murray R., Carter J. Scott, Evans Anthony B., Huerta John