Results 11 to 20 of about 426,444 (272)

Symmetries of Large N Matrix Models for Closed Strings [PDF]

, 1998
We obtain the symmetry algebra of multi-matrix models in the planar large N limit. We use this algebra to associate these matrix models with quantum spin chains.
B. Davies, B. Sakita, C. B. Thorn, C.-W. H. Lee, D. Kabat, E. Brezin, E. Fradkin, E. Witten, F. Antonuccio, G. 't Hooft, H. Au-Yang, H. Au-Yang, I. R. Klebanov, J. B. Kogut, K. Demeterfi, L. Dolan, L. Onsager, M. R. Douglas, O. Bergman, O. Bergman, Ph. Christe, R. J. Baxter, S. G. Rajeev, S. G. Rajeev, S. G. Rajeev, T. Banks, U. H. Danielsson, V. G. Kac   +27 more
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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, Ke Wu, Zhao-Wen Yan, Chun-Hong Zhang, Wei-Zhong Zhao   +4 more
doaj   +1 more source

Isomorphism of Matrix Algebras over Cuntz Algebras [PDF]

ITM Web of Conferences
Starting 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, Lindiarni Janny, Gunadi Reinhart, Setya Budhi Wono   +3 more
doaj   +1 more source

Algebra of Matrix Arithmetic

Journal of Algebra, 1998
Let \(M\) be an invertible \(r\times r\) matrix with integer coefficients and identify it with the linear mapping \(Z^r\to Z^r\) induced by it. Two integer matrices \(A,B\) are called equivalent, if \(\det(AB^{-1})=\pm 1\). Denote by \(LD(M)\) the set of equivalence classes of left divisors of \(M\) ordered by divisibility, and let \(G(M)\) be the ...
Bhowmik, Gautami, Ramaré, Olivier
openaire   +1 more source

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 the Symmetry of Matrix Algebras [PDF]

Proceedings of the American Mathematical Society, 1976
A ∗ ^{\ast } -algebra is called symmetric, if each element of the form a ∗ a {a^{\ast }}a has nonnegative real spectrum.
openaire   +2 more sources

Multi-state asymmetric simple exclusion processes [PDF]

, 2014
It is known that the Markov matrix of the asymmetric simple exclusion process (ASEP) is invariant under the Uq(sl2) algebra. This is the result of the fact that the Markov matrix of the ASEP coincides with the generator of the Temperley-Lieb (TL) algebra,
Matsui, Chihiro
core   +1 more source

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, Koornwinder T. H., Masuda T., Sanchita Mukherjee, Vaksman L. L., Willard Miller   +5 more
core   +2 more sources

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
openaire   +1 more source

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, Ke Wu, Zhao-Wen Yan, Jie Yang, Wei-Zhong Zhao   +4 more
doaj   +1 more source