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Focusing on algebras with involution, the book explores their significance in determining semi-simple finite dimensional algebras over a field, as established by the Sliedderburn Theorem. It delves into the historical context of these algebras, particularly their origins in the study of Riemann matrices. The text emphasizes the algebraic aspects, particularly in the fifth chapter, which covers invotorial simple algebras and their connections to Jordan algebras, universal enveloping algebras, and the concept of isotopy, highlighting their various applications.
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Finite-Dimensional Division Algebras over Fields, Nathan Jacobson
- Langue
- Année de publication
- 2014
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