Results 21 to 30 of about 122,808 (179)
Bounds on the levels of composition algebras [PDF]
, 2010 Certain families of quaternion and octonion algebras are conjectured to be of level and sublevel n. A proof of this conjecture is offered in the case where n is a power of two. Hoffmann's proof of the existence of infinitely many new values for the level
James O'Shea +2 more
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About Some Split Central Simple Algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper we study certain quaternion algebras and symbol algebras which split.
Savin Diana
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On split quaternion equivalents for Quaternaccis, shortly Split Quaternaccis
Open Mathematics, 2021 In this paper, we introduce generalizations of Quaternacci sequences (Quaternaccis), called Split Quaternacci sequences, which arose on a base of split quaternion algebras.
Bajorska-Harapińska Beata +3 more
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Fractal and Fractional, 2023 Very recently, a different generalization of real-valued neural networks (RVNNs) to multidimensional domains beside the complex-valued neural networks (CVNNs), quaternion-valued neural networks (QVNNs), and Clifford-valued neural networks (ClVNNs) has ...
Călin-Adrian Popa
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Hyperkähler, bi-hypercomplex, generalized hyperkähler structures and T-duality
Nuclear Physics B, 2022 We exploit the doubled formalism to study comprehensive relations among T-duality, complex and bi-hermitian structures (J+,J−) in two-dimensional N=(2,2) sigma models with/without twisted chiral multiplets. The bi-hermitian structures (J+,J−) embedded in
Tetsuji Kimura +2 more
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On generalized quaternion algebras
International Journal of Mathematics and Mathematical Sciences, 1980 Let B be a commutative ring with 1, and G(={σ}) an automorphism group of B of order 2. The generalized quaternion ring extension B[j] over B is defined by S. Parimala and R.
George Szeto
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Definite orders with locally free cancellation
Transactions of the London Mathematical Society, 2019 We enumerate all orders in definite quaternion algebras over number fields with the Hermite property; this includes all orders with the cancellation property for locally free modules.
Daniel Smertnig, John Voight
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PERIOD IDENTITIES OF CM FORMS ON QUATERNION ALGEBRAS
Forum of Mathematics, Sigma, 2020 Waldspurger’s formula gives an identity between the norm of a torus period and an $L$-function of the twist of an automorphic representation on GL(2).
CHARLOTTE CHAN
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On quaternion algebras over the composite of quadratic number fields [PDF]
, 2021 Let p and q be two positive prime integers. In this paper we obtain a complete characterization of division quaternion algebras HK(p, q) over the composite K of n quadratic number ...
Zekhnini A. +12 more
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One-dimensional Quaternion Fourier Transform and Some Applications
Bulletin of Computational Applied Mathematics, 2021 The Fourier transform is a very useful tool in many areas. This transform has been defined in many contexts, as complex numbers, quaternions, and Clifford algebras.
Eusebio Ariza García +2 more
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