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Algebra --- 512 --- Invariants. --- Linear algebraic groups. --- 512 Algebra --- Linear algebraic groups --- Groupes (algebre) --- Groupes lineaires --- Groupes classiques
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Group theory --- Linear algebraic groups --- 512.74 --- 512.54 --- Algebraic groups, Linear --- Geometry, Algebraic --- Algebraic varieties --- Algebraic groups. Abelian varieties --- Groups. Group theory --- 512.54 Groups. Group theory --- 512.74 Algebraic groups. Abelian varieties --- Groupes algébriques linéaires
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From the reviews: "This book presents an important and novel approach to Jordan algebras. Jordan algebras have come to play a role in many areas of mathematics, including Lie algebras and the geometry of Chevalley groups. Springer's work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techniques and a new approach to finite-dimensional algebras over fields." (American Scientist) "By placing the classification of Jordan algebras in the perspective of classification of certain root systems, the book demonstrates that the structure theories associative, Lie, and Jordan algebras are not separate creations but rather instances of the one all-encompassing miracle of root systems. ..." (Math. Reviews).
Jordan algebras --- Linear algebraic groups --- Jordan, Algèbres de --- Groupes linéaires algébriques --- Jordan, Algèbres de. --- Jordan algebras. --- Linear algebraic groups. --- 512 --- 512 Algebra --- Algebra --- Group theory --- Ordered algebraic structures --- Nonassociative rings. --- Rings (Algebra). --- Group theory. --- Non-associative Rings and Algebras. --- Group Theory and Generalizations. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebraic rings --- Ring theory --- Algebraic fields --- Rings (Algebra) --- Groupes algébriques linéaires --- Groupes algébriques linéaires --- Jordan, Algèbres de.
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The 1963 Göttingen notes of T. A. Springer are well-known in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra. In the group-theoretical part use is made of some results from the theory of linear algebraic groups. The book will be useful to mathematicians interested in octonion algebras and Albert algebras, or in exceptional groups. It is suitable for use in a graduate course in algebra.
Group theory --- Cayley numbers (Algebra) --- Jordan algebras. --- Alternative rings --- Linear algebraic groups. --- Cayley, Octaves de --- Jordan, Algèbres de --- Anneaux alternatifs --- Groupes linéaires algébriques --- Cayley numbers --- Jordan algebras --- Linear algebraic groups --- Alternative rings. --- Cayley numbers. --- Jordan, Algèbres de --- Groupes linéaires algébriques --- Commutative algebra. --- Commutative rings. --- Group theory. --- Commutative Rings and Algebras. --- Group Theory and Generalizations. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Rings (Algebra)
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Corps algébriques. --- Algebraic fields --- Corps algébriques
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