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Gait and balance kinematic control for a humanoid robot based on dual quaternion algebra
, 2015 Ana C. de Oliveira
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Generalized quaternion algebras
Rendiconti del Circolo Matematico di Palermo Series 2, 2023This paper is part of a small but growing circle of papers (including [\textit{E. Kizil} and \textit{Y. Alagöz}, Turk. J. Math. 43, No. 5, 2649--2657 (2019; Zbl 1431.16047)]) that study something they call ``generalized quaternion algebras'', which originate in [\textit{A. Mamagani} and \textit{M.
Hassan Oubba
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Submodules of Quaternion Algebras
Proceedings of the London Mathematical Society, 1969I. Kaplansky
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Mathematical methods in the applied sciences, 2019
This paper aims to present, in a unified manner, algebraic techniques for least squares problem in quaternionic and split quaternionic mechanics. This paper, by means of a complex representation and a real representation of a generalized quaternion ...
Gang Wang +3 more
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This paper aims to present, in a unified manner, algebraic techniques for least squares problem in quaternionic and split quaternionic mechanics. This paper, by means of a complex representation and a real representation of a generalized quaternion ...
Gang Wang +3 more
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Polynomial Trace Identities in SL(2,C), Quaternion Algebras, and Two-generator Kleinian Groups
Handbook of Complex Analysis, 2019We study certain polynomial trace identities in the group $SL(2,\IC)$ and their application in the theory of discrete groups. We obtain canonical representations for two generator groups in §4 and then in §5 we give a new proof for Gehring and Martin's ...
T. Marshall, G. Martin
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A non-commutative cryptosystem based on quaternion algebras
Designs, Codes and Cryptography, 2017We propose BQTRU, a non-commutative NTRU-like cryptosystem over quaternion algebras. This cryptosystem uses bivariate polynomials as the underling ring.
Khadijeh Bagheri +2 more
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2003
One of the main aims of this chapter is to complete the classification theorem for quaternion algebras over a number field by establishing the existence part of that theorem. This theorem, together with other results in this chapter, make use of the rings of adeles and groups of ideles associated to number fields and quaternion algebras.
Colin Maclachlan, Alan W. Reid
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One of the main aims of this chapter is to complete the classification theorem for quaternion algebras over a number field by establishing the existence part of that theorem. This theorem, together with other results in this chapter, make use of the rings of adeles and groups of ideles associated to number fields and quaternion algebras.
Colin Maclachlan, Alan W. Reid
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On the quaternionic Weyl algebra
Advances in Applied Clifford Algebras, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SABADINI, IRENE MARIA, D. Struppa
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Identifying the Matrix Ring: Algorithms for Quaternion Algebras and Quadratic Forms
, 2010We discuss the relationship between quaternion algebras and quadratic forms with a focus on computational aspects. Our basic motivating problem is to determine if a given algebra of rank 4 over a commutative ring R embeds in the 2 ×2-matrix ring M2(R ...
J. Voight
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