Results 81 to 90 of about 435,085 (248)
Orders of a quaternion algebra over a number field.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1996 Let \(A\) be an algebra over a number field. The author studies the Dirichlet series whose coefficients are the numbers of orders of \(A\) with given index in a fixed maximal order of \(A\). He shows that the series has an Euler product whose Euler \(p\)-factors are rational functions of \(p^{-s}\).
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k-invariant nets over an algebraic extension of a field k [PDF]
Siberian Mathematical Journal, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Koibaev, V. A., Nuzhin, Ya. N.
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Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, EarlyView.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
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Interaction of non-Abelian tensor gauge fields
Physics Letters B, 2018 The non-Abelian tensor gauge fields take value in extended Poincaré algebra. In order to define the invariant Lagrangian we introduce a vector variable in two alternative ways: through the transversal representation of the extended Poincaré algebra and ...
George Savvidy
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A Computer Algebra System for R: Macaulay2 and the m2r Package
Journal of Statistical Software, 2020 Algebraic methods have a long history in statistics. Apart from the ubiquitous applications of linear algebra, the most visible manifestations of modern algebra in statistics are found in the young field of algebraic statistics, which brings tools from ...
David Kahle +2 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
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Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras
Известия Иркутского государственного университета: Серия "Математика", 2019 Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker +2 more
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Corestrictions of algebras and splitting fields
, 2007 Given a field $F$, an \'etale extension $L/F$ and an Azumaya algebra $A/L$, one knows that there are extensions $E/F$ such that $A \otimes_F E$ is a split algebra over $L \otimes_F E$.
Krashen, Daniel
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Young people's occupational aspirations beyond the aspiration discourse: A sociocultural perspective
British Educational Research Journal, EarlyView.Abstract Young people's aspirations have been the focus of many educational, sociological and psychological studies. This paper argues, firstly, that the concept of aspirations holds greater generative potential than suggested by the policy‐oriented ‘aspiration discourse’.
Jelena Popov
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A semidirect product decomposition for certain Hopf algebras over an algebraically closed field [PDF]
Proceedings of the American Mathematical Society, 1976 Let H H be a finite dimensional Hopf algebra over an algebraically closed field. We show that if H H is commutative and the coradical H 0 {H_0} is a sub Hopf algebra, then the canonical inclusion H 0
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