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

Albert Algebras over Commutative Rings

The Last Frontier of Jordan Systems

• Gebundenes Buch

Produktbeschreibung

This comprehensive reference on Albert algebras, the Jordan algebras most important for Lie algebras and exceptional groups, is the first of its kind. It is ideal for researchers in mathematics and physics interested in exceptional groups or non-associative algebras.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 677
• Erscheinungstermin: 31. Oktober 2024
• Englisch
• ISBN-13: 9781009426855
• ISBN-10: 1009426850
• Artikelnr.: 70601082

Autorenporträt

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.

Inhaltsangabe

I. Prologue: the ancient protagonists
II. Foundations
III. Alternative algebras
IV. Composition algebras
V. Jordan algebras
VI. Cubic Jordan algebras
VII. The two Tits constructions
VIII. Lie algebras
IX. Group schemes
References
Index of notation
Subject index.