This book introduces a new class of non-associative algebras related to certain exceptional algebraic groups and their associated buildings. Richard Weiss develops a theory of these "quadrangular algebras" that opens the first purely algebraic approach to the exceptional Moufang quadrangles. These quadrangles include both those that arise as the spherical buildings associated to groups of type E 6 , E 7 , and E 8 as well as the exotic quadrangles "of type F4" discovered earlier by Weiss. Based on their relationship to ...

Quadrangular Algebras 2005, Princeton University Press, Princeton, NJ

ISBN-13: 9780691124605

Trade paperback