New Values for the Level and Sublevel of Composition Algebras

نویسنده

  • James O’Shea
چکیده

Constructions of quaternion and octonion algebras, suggested to have new level and sublevel values, are proposed and justified. In particular, octonion algebras of level and sublevel 6 and 7 are constructed. In addition, Hoffmann’s proof of the existence of infinitely many new values for the level of a quaternion algebra is generalised and adapted.

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تاریخ انتشار 2007