Results 31 to 40 of about 426,444 (272)

Diagonal $K$-matrices and transfer matrix eigenspectra associated with the $G^{(1)}_2$ $R$-matrix [PDF]

open access: yes, 1995
We find all the diagonal $K$-matrices for the $R$-matrix associated with the minimal representation of the exceptional affine algebra $G^{(1)}_2$. The corresponding transfer matrices are diagonalized with a variation of the analytic Bethe ansatz. We find
Batchelor, M. T., Yung, C. M.
core   +2 more sources

Determining the Inverse of a Matrix over Min-Plus Algebra

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika)
Linear algebra over the semiring  R_ε with ⊗ (plus) and ⨁ (maximum) operations which is known as max-plus algebra. One of the isomorphic with this algebra is a min-plus algebra.
Siswanto Siswanto, Anggrina Gusmizain
doaj   +1 more source

A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras

open access: yesJournal of Mathematics, 2021
In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
doaj   +1 more source

Quantum orbits of R-matrix type [PDF]

open access: yes, 1994
Given a simple Lie algebra $\gggg$, we consider the orbits in $\gggg^*$ which are of R-matrix type, i.e., which possess a Poisson pencil generated by the Kirillov-Kostant-Souriau bracket and the so-called R-matrix bracket.
A. Sheu   +14 more
core   +2 more sources

Multi-Modal Medical Image Fusion With Geometric Algebra Based Sparse Representation

open access: yesFrontiers in Genetics, 2022
Multi-modal medical image fusion can reduce information redundancy, increase the understandability of images and provide medical staff with more detailed pathological information.
Yanping Li   +4 more
doaj   +1 more source

The exponential map for representations of $U_{p,q}(gl(2))$

open access: yes, 1995
For the quantum group $GL_{p,q}(2)$ and the corresponding quantum algebra $U_{p,q}(gl(2))$ Fronsdal and Galindo explicitly constructed the so-called universal $T$-matrix.
A. Schirrmacher   +17 more
core   +1 more source

Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: type C

open access: yes, 2020
An explicit isomorphism between the $R$-matrix and Drinfeld presentations of the quantum affine algebra in type $A$ was given by Ding and I. Frenkel (1993).
Jing, Naihuan   +2 more
core   +1 more source

From Reflection Equation Algebra to Braided Yangians

open access: yes, 2018
In general, quantum matrix algebras are associated with a couple of compatible braidings. A particular example of such an algebra is the so-called Reflection Equation algebra.
Gurevich, Dimitri, Saponov, Pavel
core   +1 more source

Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules

open access: yesAdvanced Functional Materials, EarlyView.
A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang   +7 more
wiley   +1 more source

σ-derivations on generalized matrix algebras

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
Let 𝒭 be a commutative ring with unity, 𝒜, 𝒝 be 𝒭-algebras, 𝒨 be (𝒜, 𝒝)-bimodule and 𝒩 be (𝒝, 𝒜)-bimodule. The 𝒭-algebra 𝒢 = 𝒢(𝒜, 𝒨, 𝒩, 𝒝) is a generalized matrix algebra defined by the Morita context (𝒜, 𝒝, 𝒨, 𝒩, ξ𝒨𝒩, Ω𝒩𝒨).
Jabeen Aisha   +2 more
doaj   +1 more source

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