Albert Algebras over Commutative Rings: The Last Frontier of Jordan Systems: Series Number 48 (New Mathematical Monographs, Series Number 48) - Hardcover

Garibaldi, Skip; Petersson, Holger P.; Racine, Michel L.

Hardcover

ISBN 10: 1009426850 ISBN 13: 9781009426855

Publisher: Cambridge University Press, 2024

Synopsis

The first comprehensive book on Albert algebras, the Jordan algebras that are most important for Lie algebras and exceptional groups.

About this title

About the Authors

Skip Garibaldi is Director of the IDA Center for Communications Research, La Jolla. His research focuses on algebraic groups, especially exceptional groups, which naturally involves studying Albert algebras. He is co-author of the book 'Cohomological Invariants in Galois Cohomology (2003),' written with Alexander Merkurjev and Jean-Pierre Serre. He is a Fellow of the American Mathematical Society and received the Lester R. Ford Award from the Mathematical Association of America.

Holger P. Petersson is Emeritus Professor in the Faculty of Mathematics and Computer Science at FernUniversität in Hagen, Germany. He has published on non-associative algebras, especially Albert algebras, over the course of his whole career, and is the author of a key survey on Albert algebras over fields of arbitrary characteristic, which was a starting point for this book. He co-wrote the monograph 'Descent in Buildings' with Bernhard Mühlherr and Richard Weiss.

Michel L. Racine is Emeritus Professor in the Department of Mathematics and Statistics at the University of Ottawa. His research interests include Jordan algebras and superalgebras, especially Albert algebras. He has proved many key results in this book, either alone or in joint work with Petersson. He was a von Humboldt Fellow at Universität Münster and an SSHN Fellow at Université Paris 5.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2024
• Language: English
• ISBN 10: 1009426850
• ISBN 13: 9781009426855
• Binding: Hardcover
• Number of pages: 677