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Titlebook: Jordan Algebras and Algebraic Groups; Tonny A. Springer Book 1998 Springer-Verlag Berlin Heidelberg 1998 Area.Finite.Lie.Math.algebra.alge

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Ideals, the Radical,Let . = (.) be a J-structure. We denote by . the set of in vertible elements of ..
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Strongly Simple J-structures,Let . . be a J-structure, with structure group .. We say that . is . if the identity component . acts irreducibly in . Recall that . is said to be simple if there are no non-trivial ideals, see 1.3.
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The Structure Group of a Simple J-structure and the Related Lie Algebras,In this section we discuss in detail the structure groups of the various simple J-structures of the preceding sections. We also investigate the various Lie algebras introduced in §4. Before doing so we establish some auxiliary results about root systems and derivations of Lie algebras. Throughout, . denotes the characteristic of
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Tonny A. SpringerThis thorough book supplements in a highly valuable manner the well-known works of Braun-Koecher and N. Jacobson..Its perusal will prove indispensable to any serious student of Jordan algebras..Public
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https://doi.org/10.1007/978-3-642-61970-0Area; Finite; Lie; Math; algebra; algebraic group; character; classification; geometry; group; lie algebra; mat
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