Results 11 to 20 of about 424,995 (268)
W1+∞ constraints for the hermitian one-matrix model
Physics Letters B, 2019 We construct the multi-variable realizations of the W1+∞ algebra such that they lead to the W1+∞ n-algebra. Based on our realizations of the W1+∞ algebra, we derive the W1+∞ constraints for the hermitian one-matrix model.
Rui Wang +4 more
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Stratifying algebras with near-matrix algebras
Journal of Pure and Applied Algebra, 2004 For a left module \(U\) and a right module \(V\) over an algebra \(D\) with a \(D\)-\(D\) bilinear form \(\beta\colon U\times V\to D\), an associative algebra structure can be defined on the tensor product \(V\otimes_DU\) which is called a near matrix algebra.
Du, Jie, Lin, Zongzhu
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Isomorphism of Matrix Algebras over Cuntz Algebras [PDF]
ITM Web of ConferencesStarting with a Cuntz algebra On constructed by n isometries, we discuss a C*-algebra consisting of elements of a fixed size k square matrix, where the entries of matrix are from the Cuntz algebra 𝒪n.
Humam Afif +3 more
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Generalized Matrix Algebras [PDF]
Canadian Journal of Mathematics, 1955 The algebras considered here arose in the investigation of an algebra connected with the orthogonal group. We consider an algebra of dimension mn over a field K of characteristic zero, and possessing a basis {eij} (1 ≤ i ≤ m; 1 ≤ j ≤ n) with the multiplication property1,The field elements ϕij form a matrix Φ = (ϕij) of order n × m.
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On numerical/non-numerical algebra: Semi-tensor product method
Mathematical Modelling and Control, 2021 A kind of algebra, called numerical algebra, is proposed and investigated. As its opponent, non-numerical algebra is also defined. The numeralization and dis-numeralization, which convert non-numerical algebra to numerical algebra and vise versa, are ...
Daizhan Cheng +3 more
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Models of q-algebra representations: Matrix elements of the q-oscillator algebra [PDF]
, 1993 This article continues a study of function space models of irreducible representations of q analogs of Lie enveloping algebras, motivated by recurrence relations satisfied by q-hypergeometric functions.
E. G. Kalnins +5 more
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Diagonal $K$-matrices and transfer matrix eigenspectra associated with the $G^{(1)}_2$ $R$-matrix [PDF]
, 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.
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Exact correlators in the Gaussian Hermitian matrix model
Physics Letters B, 2019 We present the W1+∞ constraints for the Gaussian Hermitian matrix model, where the constructed constraint operators yield the W1+∞ n-algebra. For the Virasoro constraints, we note that the constraint operators give the null 3-algebra.
Bei Kang +4 more
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Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: type C
, 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
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Discrete and Continuous Bogomolny Equations through the Deformed Algebra [PDF]
, 1998 We connect the discrete and continuous Bogomolny equations. There exists one-parameter algebra relating two equations which is the deformation of the extended conformal algebra.
Banks +12 more
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