A Taste of Jordan Algebras
Kevin McCrimmon
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Description for A Taste of Jordan Algebras
hardcover. Jordan algebras crop up in many surprising settings, and find application to a variety of mathematical areas. This title describes the history of Jordan algebras and describes in mathematical detail the structure theory for Jordan algebras of arbitrary dimension due to Efim Zel'manov. Series: Universitext. Num Pages: 588 pages, biography. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 31. Weight in Grams: 940.
On several occasions I and colleagues have found ourselves teaching a o- semester course for students at the second year of graduate study in ma- ematics who want to gain a general perspective on Jordan algebras, their structure, and their role in mathematics, or want to gain direct experience with nonassociative algebra. These students typically have a solid grounding in ?rst–year graduate algebra and the Artin–Wedderburn theory of assoc- tive algebras, and a few have been introduced to Lie algebras (perhaps even Cayley algebras, in an o?hand way), but otherwise they have not seen any nonassociative algebras. Most of them ... Read more
On several occasions I and colleagues have found ourselves teaching a o- semester course for students at the second year of graduate study in ma- ematics who want to gain a general perspective on Jordan algebras, their structure, and their role in mathematics, or want to gain direct experience with nonassociative algebra. These students typically have a solid grounding in ?rst–year graduate algebra and the Artin–Wedderburn theory of assoc- tive algebras, and a few have been introduced to Lie algebras (perhaps even Cayley algebras, in an o?hand way), but otherwise they have not seen any nonassociative algebras. Most of them ... Read more
Product Details
Format
Hardback
Publication date
2003
Publisher
Springer United States
Number of pages
588
Condition
New
Series
Universitext
Number of Pages
563
Place of Publication
New York, NY, United States
ISBN
9780387954479
SKU
V9780387954479
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Kevin McCrimmon
Kevin McCrimmon introduced the concept of a quadratic Jordan algebra and developed a structure theory of Jordan algebras over an arbitrary ring of scalars. He is a Professor of Mathematics at the University of Virginia and the author of more than 100 research papers.
Reviews for A Taste of Jordan Algebras
From the reviews: "This is an excellent book, masterly written and very well organized, a real compendium of Jordan algebras offering all the relevant notions and results of the theory – and not only a ‘taste’. … is written as a direct mathematical conversation between the author and a reader, who has no knowledge of ... Read more