Results 81 to 90 of about 1,018 (285)
Liftings of reduction maps for quaternion algebras
We construct liftings of reduction maps from complex multiplication (CM) points to supersingular points for general quaternion algebras and use these liftings to establish a precise correspondence between CM points on indefinite quaternion algebras with ...
Jetchev, Dimitar, Cornut, Christophe
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Quadratic forms and Linkage of Quaternion Algebras
, 1988 A field F satisfies n-linkage on a subset of Ḟ if whenever the quaternion algebrasare equal in Br(F) there exist z ∈ Ḟ withfor i = 1, 2, . . ., n. This linkage of quaternion algebras is examined and its relationship to the torsion freeness of I2(F) and ...
Vatsala Krishnamani, Joseph Yucas
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On quaternion algebras over the composite of quadratic number fields
, 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 ...
Vincenzo Acciaro +11 more
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Asian Journal of Control, EarlyView.Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley +1 more source
Generalized Pauli Fibonacci Polynomial Quaternions
AxiomsSince Hamilton proposed quaternions as a system of numbers that does not satisfy the ordinary commutative rule of multiplication, quaternion algebras have played an important role in many mathematical and physical studies.
Bahadır Yılmaz +2 more
doaj +1 more source
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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, 1989 The authors define and study the arithmetic of special orders in quaternion division algebras over number fields. Special orders are analogous to orders of the form \(\left( \begin{matrix} Z\\ NZ\end{matrix} \begin{matrix} Z\\ Z\end{matrix} \right)\) in \(Mat(2,{\mathbb{Q}}_ p)\) and include maximal and Eichler orders as special cases.
Hijikata, H., Pizer, A., Shemanske, T.
openaire +1 more source
Risk‐aware safe reinforcement learning for control of stochastic linear systems
Asian Journal of Control, EarlyView.Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili +2 more
wiley +1 more source
Images of Multilinear Polynomials on Generalized Quaternion Algebras
, 2023 The main goal of this paper is to extend [J. Algebra Appl. 20 (2021), 2150074] to generalized quaternion algebras, even when these algebras are not necessarily division rings. More precisely, in such cases, the image of a multilinear polynomial evaluated
Danchev, Peter Vassilev +2 more
core
Counting zeros in quaternion algebras using Jacobi forms
, 2018 We use the theory of Jacobi forms to study the number of elements in a maximal order of a definite quaternion algebra over the field of rational numbers whose characteristic polynomial equals a given polynomial. A certain weighted average of such numbers
Boylan, Hatice +5 more
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