On Hurwitz Transformations
نویسندگان
چکیده
Paper published in the proceedings of the workshop " Leprobì eme de factorisation de Hur-ABSTRACT A bibliography on the Hurwitz transformations is given. We deal here, with some details, with two particular Hurwitz transformations, viz, the R 4 → R 3 Kustaanheimo-Stiefel transformation and its R 8 → R 5 compact extension. These transformations are derived in the context of Fock-Bargmann-Schwinger calculus with special emphasis on angular momentum theory.
منابع مشابه
On Quadratic and Nonquadratic Forms :
Hurwitz transformations are defined as specific automorphisms of a CayleyDickson algebra. These transformations generate quadratic and nonquadratic forms. We investigate here the Hurwitz transformations corresponding to Cayley-Dickson algebras of dimensions 2m = 2, 4 and 8. The Hurwitz transformations which lead to quadratic forms are discussed from geometrical and Lie-algebraic points of view....
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