On the Para-Octonions; A Non-Associative Normed algebra
نویسندگان
چکیده
منابع مشابه
Making Non - Associative Algebra Associative Pei
Based on results about open string correlation functions, a nonassociative algebra was proposed in a recent paper for D-branes in a background with nonvanishing H. We show that our associative algebra obtained by quantizing the endpoints of an open string in an earlier work can also be used to reproduce the same correlation functions. The novelty of this algebra is that functions on the D-brane...
متن کاملThe Automorphisms of Cayley's Non-Associative Algebra.
1 For multiple Fourier integrals in the place of Fourier series this formula has been previously estabLished and made use of in the paper: S. Bochner, "Ein Konvergenzsatz fur mehrvariablige Fouriersche Integrale," Math. Zeit., 34, 440-447 (1931); see also A. C. Berry, "The Fourier Transform Theorem," Jour. Math. Phys. Mass. Inst. Technology, 8, 106-118 (1929). 2 See Bochner, S., "Properties of ...
متن کاملClifford algebra-parametrized octonions and generalizations
Introducing products between multivectors of Cl0,7 (the Clifford algebra over the metric vector space R) and octonions, resulting in an octonion, and leading to the non-associative standard octonionic product in a particular case, we generalize the octonionic X-product, associated with the transformation rules for bosonic and fermionic fields on the tangent bundle over the 7-sphere S, and the X...
متن کاملNon-associative Kleene Algebra and Temporal Logics
In earlier papers we have presented algebraic semantics of CTL and CTL*. However, they were not fully satisfactory. In particular, the treatment of the iteration operators U (“Until”) and W (“While”) employed ad-hoc definitions with general recursion, and their interrelation in CTL* and CTL was not set up in a very algebraic way. In this paper we use a new operator with which U and W can be des...
متن کاملCo-moufang Deformations of the Universal Enveloping Algebra of the Algebra of Traceless Octonions
By means of graphical calculus we prove that, over fields of characteristic zero, any bialgebra deformation of the universal enveloping algebra of the algebra of traceless octonions satisfying the dual of the left and right Moufang identities must be coassociative and cocommutative.
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: Marmara Fen Bilimleri Dergisi
سال: 2016
ISSN: 2146-5150
DOI: 10.7240/mufbed.36025