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Quantum groups, Yang–Baxter maps and quasi-determinants

open access: yesNuclear 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
doaj   +6 more sources

Soft factorization in QED from 2D Kac-Moody symmetry

open access: yesJournal of High Energy Physics, 2018
The soft factorization theorem for 4D abelian gauge theory states that the S $$ \mathcal{S} $$-matrix factorizes into soft and hard parts, with the universal soft part containing all soft and collinear poles.
Anjalika Nande   +2 more
doaj   +3 more sources

MASALAH EIGEN DAN EIGENMODE MATRIKS ATAS ALJABAR MIN-PLUS

open access: yesBarekeng, 2021
Eigen problems and eigenmode are important components related to square matrices. In max-plus algebra, a square matrix can be represented in the form of a graph called a communication graph.
Eka Widia Rahayu   +2 more
doaj   +1 more source

Primary decompositions of unital locally matrix algebras [PDF]

open access: yesBulletin of Mathematical Sciences, 2020
We construct a unital locally matrix algebra of uncountable dimension that (1) does not admit a primary decomposition, (2) has an infinite locally finite Steinitz number. It gives negative answers to questions from [V. M.
Oksana Bezushchak, Bogdana Oliynyk
doaj   +1 more source

Eigenvalue decomposition of a symmetric matrix over the symmetrized max-plus algebra

open access: yesDesimal, 2021
This paper discusses topics in the symmetrized max-plus algebra. In this study, it will be shown the existence of eigenvalue decomposition of a symmetric matrix over symmetrized max-plus algebra. Eigenvalue decomposition is shown by using a function that
Suroto Suroto
doaj   +1 more source

Algebraic structure of path-independent quantum control

open access: yesPhysical Review Research, 2022
Path-independent (PI) quantum control has recently been proposed to integrate quantum error correction and quantum control [W.-L. Ma, M. Zhang, Y. Wong, K. Noh, S. Rosenblum, P. Reinhold, R. J. Schoelkopf, and L. Jiang, Phys. Rev. Lett. 125, 110503 (2020)
Wen-Long Ma, Shu-Shen Li, Liang Jiang
doaj   +1 more source

Selected Payback Statistical Contributions to Matrix/Linear Algebra: Some Counterflowing Conceptualizations

open access: yesStats, 2022
Matrix/linear algebra continues bestowing benefits on theoretical and applied statistics, a practice it began decades ago (re Fisher used the word matrix in a 1941 publication), through a myriad of contributions, from recognition of a suite of matrix ...
Daniel A. Griffith
doaj   +1 more source

Functional Identities on Matrix Algebras [PDF]

open access: yesAlgebras and Representation Theory, 2015
20 pages, comments welcome, version 2- applications have been ...
Brešar, Matej, Spenko, Špela
openaire   +4 more sources

Robustness of Interval Monge Matrices in Fuzzy Algebra

open access: yesMathematics, 2020
Max–min algebra (called also fuzzy algebra) is an extremal algebra with operations maximum and minimum. In this paper, we study the robustness of Monge matrices with inexact data over max–min algebra.
Máté Hireš   +2 more
doaj   +1 more source

Perturbations of matrix algebras.

open access: yesMichigan Mathematical Journal, 1986
Two subalgebras of \({\mathcal M}_ n\), the \(n\times n\) matrices, are close if their unit balls are close in the Hausdorff metric. Several examples of pathological behaviour are given. For example, close algebras need not be isomorphic; they may be isomorphic via a map close to the identity but not be similar; and they may be similar and close, but ...
Choi, Man Duen, Davidson, Kenneth R.
openaire   +2 more sources

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