Derivations and Cayley derivations of generalized Cayley-Dickson algebras
نویسندگان
چکیده
منابع مشابه
Monomorphisms between Cayley-Dickson Algebras
In this paper we study the algebra monomorphisms from Am = R 2m into An = R 2n for 1 ≤ m ≤ n, where An are the Cayley-Dickson algebras. For n ≥ 4, we show that there are many types of monomorphisms and we describe them in terms of the zero divisors in An.
متن کاملAlternative elements in the Cayley–Dickson algebras
We describe the alternative elements in An = R n the CayleyDickson algebras for n ≥ 4. Also we “measure” the failure of An with n ≥ 4 of being a normed algebra in terms of the alternative elements.
متن کاملBorn-Infeld Lagrangian using Cayley-Dickson algebras
We rewrite the Born-Infeld Lagrangian, which is originally given by the determinant of a 4×4 matrix composed of the metric tensor g and the field strength tensor F , using the determinant of a (4·2n)×(4·2n) matrix H4·2n . If the elements of H4·2n are given by the linear combination of g and F , it is found, based on the representation matrix for the multiplication operator of the Cayley-Dickson...
متن کاملLarge Annihilators in Cayley-dickson Algebras
Cayley-Dickson algebras are non-associative R-algebras that generalize the well-known algebras R, C, H, and O. We study zero-divisors in these algebras. In particular, we show that the annihilator of any element of the 2n-dimensional Cayley-Dickson algebra has dimension at most 2n−4n+4. Moreover, every multiple of 4 between 0 and this upper bound occurs as the dimension of some annihilator. Alt...
متن کاملLarge Annihilators in Cayley-dickson Algebras Ii
We establish many previously unknown properties of zero-divisors in Cayley-Dickson algebras. The basic approach is to use a certain splitting that simplifies computations surprisingly.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1985
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1985.117.163