Results 11 to 20 of about 609,367 (341)
Linked triples of quaternion algebras [PDF]
Pacific Journal of Mathematics, 2014 Let \(F\) be a field of characteristic not \(2\). A collection \(Q_1,\ldots,Q_n\) (\(n\geq 2\)) of quaternion algebras over \(F\) is said to have a common slot if there exist \(a,b_i\in F^*\) with \(Q_i\cong (a,b_i)\), \(1\leq i\leq n\). This collection is said to be linked if any pair \(Q_i,Q_j\) has a common slot. \textit{E. Peyre} [Proc. Symp.
A. S. Sivatski
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On generalized quaternion algebras [PDF]
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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Wiener algebra for the quaternions [PDF]
Mediterranean Journal of Mathematics, 2015 We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener-L vy type theorem and a factorization theorem. We give applications to Toeplitz and Wiener-Hopf operators.
Daniel Alpay +3 more
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Lattice point counting and height bounds over number fields and quaternion algebras [PDF]
Online Journal of Analytic Combinatorics, 2013 An important problem in analytic and geometric combinatorics is estimating the number of lattice points in a compact convex set in a Euclidean space. Such estimates have numerous applications throughout mathematics.
Lenny Fukshansky, Glenn Henshaw
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Quaternion Algebras and the Algebraic Legacy of Hamilton's Quaternions
Irish Mathematical Society Bulletin, 2006 We describe the basic definitions and fundamen- tal properties of quaternion algebras over fields and proceed to give an account of how Hamilton's 1843 discovery of the quaternions was a major turning point in the subject of al- gebra. Noncommutative algebra started here! We will em- phasize especially the theory of division algebras and other kinds of
D. W. Lewis
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AIMS MathematicsIn this paper, we introduce a method for computing the primitive decomposition of idempotents in any semisimple finite group algebra, utilizing its matrix representations and Wedderburn decomposition.
Lilan Dai, Yunnan Li
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On maximal orders of division quaternion algebras over the rational number field with certain optimal embeddings [PDF]
Nagoya mathematical journal, 1982 Tomoyoshi Ibukiyama
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Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras
AIMS Mathematics, 2023 In this paper, we investigate Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras over the field of real numbers. We prove that every Jordan semi-triple derivation on generalized quaternion algebras over the field of
Ai-qun Ma, Lin Chen, Zijie Qin
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On quaternion algebras over the composite of quadratic number fields
Glasnik Matematicki - Serija III, 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 fields.
V. Acciaro +3 more
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