Results 11 to 20 of about 122,808 (179)
, 2017 This thesis deals with quaternion algebras. A quaternion algebra is a four dimensional vector space with basis 1, i, j, k and multiplication defined as i2 = a, j2 = b, ij = -ji = k.
Bečka, Pavel
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Contractions on ranks and quaternion types in clifford algebras
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 In this paper we consider expressions in real and complex Clifford algebras, which we call contractions or averaging. We consider contractions of arbitrary Clifford algebra element.
Dmitry S Shirokov
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Superderivations and Jordan superderivations of generalized quaternion algebras [PDF]
Journal of Mahani Mathematical ResearchLet $H_{\alpha,\beta}$ be the generalized quaternion algebra over a unitary commutative ring. This paper aims to consider superderivations and Jordan superderivations of $H_{\alpha,\beta}$ and hence to obtain the superalgebra $Der_{s} (H_{\alpha,\beta})$
Leila Heidari Zadeh
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Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. [PDF]
, 2013 Let G be a finite group with a Sylow 2-subgroup P which is either quaternion or semi-dihedral. Let k be an algebraically closed field of characteristic 2.
Mazza, Nadia +2 more
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Wiener Algebra for the Quaternions [PDF]
Mediterranean Journal of Mathematics, 2015 No description ...
Alpay, Daniel +3 more
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Splitting of differential quaternion algebras [PDF]
, 2023 We study differential splitting fields of quaternion algebras with derivations. A quaternion algebra over a field $k$ is always split by a quadratic extension of $k$.
Singh, Anupam +2 more
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SciPost Physics Proceedings, 2023 The paper develops, within a new representation of Clifford algebras in terms of tensor products of quaternions called hyperquaternions, several applications.
Patrick R. Girard, Romaric Pujol, Patrick Clarysse, Philippe Delachartre
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Fascinating Number Sequences from Fourth Order Difference Equation Via Quaternion Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 The balancing and Lucas-balancing numbers are solutions of second order recurrence relations. A linear combination of these numbers can also be obtained as solutions of a fourth order recurrence relation.
Patra Asim
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Levels and sublevels of composition algebras [PDF]
, 2007 Lewis' and Leep's bounds on the level and sublevel of quaternion algebras are extended to the class of composition algebras. Some simple constructions of composition algebras of known level values are given.
O'Shea, James
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NTRU in Quaternion Algebras of Bounded Discriminant [PDF]
, 2023 The NTRU assumption provides one of the most prominent problems on which to base post-quantum cryptography. Because of the efficiency and security of NTRU-style schemes, structured variants have been proposed, using modules.
Cong Ling, Andrew Mendelsohn
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