Results 51 to 60 of about 545,581 (195)
Yang–Baxter maps, discrete integrable equations and quantum groups
Nuclear Physics B, 2018 For every quantized Lie algebra there exists a map from the tensor square of the algebra to itself, which by construction satisfies the set-theoretic Yang–Baxter equation.
Vladimir V. Bazhanov, Sergey M. Sergeev
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Metatimes, random measures and cylindrical random variables
Modern Stochastics: Theory and Applications, 2021 Metatimes constitute an extension of time-change to general measurable spaces, defined as mappings between two σ-algebras. Equipping the image σ-algebra of a metatime with a measure and defining the composition measure given by the metatime on the domain
Fred Espen Benth, Iben Cathrine Simonsen
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Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras
Nonlinear Analysis, 2022 The aim of the paper is to give a uniform picture of complex, hyperbolic, and quaternion algebras from a perspective of the applied Clifford geometric algebra.
Adolfas Dargys, Artūras Acus
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Academic Achievement in Algebra of the Public High School Students in the New Normal
Philippine Social Science Journal, 2021 This study describes the academic achievement level in Algebra of the public secondary school students in the new normal as a whole and when grouped according to sex and parent's highest educational attainment.
Diana B. Rodrigo, Alfredo D. Alave
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Squared Hopf algebras and reconstruction theorems [PDF]
Banach Center Publications, 1997 Given an abelian k-linear rigid monoidal category V, where k is a perfect field, we define squared coalgebras as objects of cocompleted V tensor V (Deligne's tensor product of categories) equipped with the appropriate notion of comultiplication. Based on this, (squared) bialgebras and Hopf algebras are defined without use of braiding.
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Nuclear Physics B, 2022 In this paper we define infinite-dimensional algebra and its representation, whose basis is naturally identified with semi-infinite configurations of the square ladder model (square lattice with two lines). All these lead to representation of N=2 algebra.
Valerii Sopin
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New many-parameter Fourier–Clifford transforms
Цифровые модели и решения, 2023 The article shows how ordinary complex-valued Fourier transforms are extended to Cliffordean-valued many-parameter Fourier transforms (MPFCTs). Each MPFCT depends on finite set of independent parameters (angles), which could be changed independently one ...
V. G. Labunets +2 more
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, 1994 Using a representation of the q-deformed Lorentz algebra as differential operators on quantum Minkowski space, we define an algebra of observables for a q-deformed relativistic quantum mechanics with spin zero. We construct a Hilbert space representation
B. Drabant +7 more
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Quantum groups, Yang–Baxter maps and quasi-determinants
Nuclear Physics B, 2018 For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang–Baxter equation. It is known that the adjoint action of the universal R-matrix on the elements of the tensor square of the algebra constitutes a quantum ...
Zengo Tsuboi
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A computational approach to analyze the Hadamard quasigroup product
Electronic Research Archive, 2023 Based on the binary product described by any Latin square, the Hadamard quasigroup product is introduced in this paper as a natural generalization of the classical Hadamard product of matrices. The successive iteration of this new product is endowed with
Raúl M. Falcón +5 more
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