Results 51 to 60 of about 122,808 (179)

Counting and equidistribution for quaternion algebras [PDF]

Mathematische Zeitschrift, 2019
36 ...
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A Right-Sided Cl(0,2)-Valued Linear Canonical Stockwell Transform: Rigorous Formulation and Chirp-Adaptive Computation

Mathematical and Computational Applications
Quadratic phase disperses the spectrum of chirped multicomponent data and can defeat the ordinary Stockwell analysis. We formulate a right-sided Cl(0,2)-valued linear canonical Stockwell transform (CLCST) on a positive real Hilbert space, using standard ...
Yi-Qiao Xu, Bing-Zhao Li
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Associative Hypercomplex Algebras Arise over a Basic Set of Subgeometric One-Dimensional Elements

Mathematics
An abstract set of one-dimensional (spinor-type) elements randomly oriented on a plane is introduced as a basic subgeometric object. Endowing the set with the binary operations of multiplication and invertible addition sequentially yields a specific semi-
Alexander P. Yefremov
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Quaternion Algebras with the Same Subfields [PDF]

, 2010
G. Prasad and A. Rapinchuk asked if two quaternion division F -algebras that have the same subfields are necessarily isomorphic. The answer is known to be "no" for some very large fields. We prove that the answer is "yes" if F is an extension of a global field K so that F /K is unirational and has zero unramified Brauer group.
Garibaldi, Skip, Saltman, David J.
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Algebras of generalized quaternion type

, 2019
We introduce and study the algebras of generalized quaternion type, being natural generalizations of algebras which occurred in the study of blocks of group algebras with generalized quaternion defect groups.
Andrzej Skowroński, Karin Erdmann
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Hodge-theoretic obstruction to the existence of quaternion algebras [PDF]

, 2003
This paper gives a necessary criterion in terms of Hodge theory for representability by quaternion algebras of certain 2-torsion classes in the unramified Brauer group of a complex function field.
Kresch, A
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Representation of Integral Formulas for the Extended Quaternions on Clifford Analysis

Mathematics
This work addresses a significant gap in the existing literature by developing integral representation formulas for extended quaternion-valued functions within the framework of Clifford analysis. While classical Cauchy-type and Borel–Pompeiu formulas are
Ji Eun Kim
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Free groups in quaternion algebras

Journal of Algebra, 2013
10 pages, article presented in conferences: Algebra School, Brasilia-Brazil, Brasilia National University (july-2010); Summer 2009 Meeting of CMS in Groups and Hopf Algebras section, St. Jonh's-Canada, Memorial University of Newfoundland (June-2009); Groups, Rings and Group Rings, Ubatuba-Brazil (july-2008)
Juriaans, S.O., Souza Filho, A.C.
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Involutions on tensor products of quaternion algebras

, 2019
: We study possible decompositions of totally decomposable algebras with involution, that is, tensor products of quaternion algebras with involution.
Barry, Demba
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Hyperpolyadic Structures

Mathematics
We introduce a new class of division algebras, the hyperpolyadic algebras, which correspond to the binary division algebras R, C, H, O without considering new elements. First, we use the matrix polyadization procedure proposed earlier which increases the
Steven Duplij
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