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Quadrangular Algebras. (MN-46)
Richard M. Weiss
€ 74.56
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Description for Quadrangular Algebras. (MN-46)
Paperback. Based on their relationship to exceptional algebraic groups, quadrangular algebras belong in a series together with alternative and Jordan division algebras, this book introduces a class of non-associative algebras related to exceptional algebraic groups and their associated buildings. Series: Mathematical Notes. Num Pages: 144 pages, 1 line illus. BIC Classification: PBH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 10. Weight in Grams: 199.
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 E6, E7, and E8 as well as the exotic quadrangles "of type F4" discovered earlier by Weiss. Based on their relationship to exceptional algebraic groups, quadrangular algebras belong in a series together with alternative and Jordan division algebras. Formally, the notion of a quadrangular ... Read more
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 E6, E7, and E8 as well as the exotic quadrangles "of type F4" discovered earlier by Weiss. Based on their relationship to exceptional algebraic groups, quadrangular algebras belong in a series together with alternative and Jordan division algebras. Formally, the notion of a quadrangular ... Read more
Product Details
Format
Paperback
Publication date
2005
Publisher
Princeton University Press United States
Number of pages
144
Condition
New
Series
Mathematical Notes
Number of Pages
144
Place of Publication
New Jersey, United States
ISBN
9780691124605
SKU
V9780691124605
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Richard M. Weiss
Richard M. Weiss is William Walker Professor of Mathematics at Tufts University. He is the author of "The Structure of Spherical Buildings" (Princeton) and the coauthor (with Jacques Tits) of "Moufang Polygons". He received a Humboldt Research Prize in 2004.
Reviews for Quadrangular Algebras. (MN-46)
"[T]here have been many results on finite generalized quadrangles that fill a well-needed gap in the mathematical literature, but this monograph is much deeper and will enable progress to be made in a difficult technical area where some exotic forms of algebraic groups have hitherto been little understood."
Robert L. Devaney, Bulletin of the AMS
Robert L. Devaney, Bulletin of the AMS