An exceptional G(2) extension of the Standard Model from the correspondence with Cayley-Dickson algebras automorphism groups. [PDF]
Sci Rep, 2021 Masi N.
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Total linkage of quaternion algebras and Pfister forms in characteristic two
, 2016 : We study the subfields of quaternion algebras that are quadratic extensions of their center in characteristic 2. We provide examples of the following: two non-isomorphic quaternion algebras that share all their quadratic subfields, two quaternion ...
Chapman, Adam +5 more
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Multivariate Multiscale Cosine Similarity Entropy and Its Application to Examine Circularity Properties in Division Algebras. [PDF]
Entropy (Basel), 2022 Xiao H, Chanwimalueang T, Mandic DP.
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Külshammer ideals of algebras of quaternion type
, 2017 International audienceFor a symmetric algebra A over a field K of characteristic p > 0 Külshammer constructed a descending sequence of ideals of the centre of A. If K is perfect this sequence was shown to be an invariant under derived equivalence and for
Zimmermann, Alexander
core
An Algorithm for the Factorization of Split Quaternion Polynomials. [PDF]
Adv Appl Clifford Algebr, 2021 Scharler DF, Schröcker HP.
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Derived Equivalence Classification of Algebras of Dihedral, Semidihedral, and Quaternion Type
, 1999 Algebras of dihedral, semidihedral, and quaternion type were introduced by K. Erdmann as a generalization of blocks of finite groups of tame representation type.
Holm, Thorsten
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The Looijenga-Lunts-Verbitsky Algebra and Verbitsky's Theorem. [PDF]
Milan J Math, 2022 Bottini A.
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Duality of heights over quaternion algebras
, 2005 Given a number field K, it is well-known that the height of a subspace in KN and of its orthogonal complement coincide. We prove the analogous fact when K is replaced by a positive definite rational quaternion algebra with respect to the heights recently
Liebendörfer, Christine, Rémond, Gaël
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Quaternionic Bundles on Algebraic Spheres
Rocky Mountain Journal of Mathematics, 1996 It has remained an open question for many years whether there is a bijection between algebraic and topological vector bundles on spheres. If one denotes by \(\mathbb{F}\) one of the (skew) fields \(\mathbb{R}\), \(\mathbb{C}\) or \(\mathbb{H}\) and by \(A_n\) the coordinate ring \(\mathbb{R}[x_0,\dots,x_n]/(\sum x^2_1-1)\) of the sphere, then the more ...
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On application of algebra of quaternions I [PDF]
International Journal of Scientific and Research Publications (IJSRP), 2021 Emran Sasi Althabit, Ismail.M. Mohamed
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