Results 11 to 20 of about 15,288 (257)
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
doaj +1 more source
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
On the Symmetry of Matrix Algebras [PDF]
Proceedings of the American Mathematical Society, 1976 A ∗
openaire +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 +4 more
doaj +1 more source
Frobenius structural matrix algebras
Linear Algebra and its Applications, 2013 We discuss when the incidence coalgebra of a locally finite preordered set is right co-Frobenius. As a consequence, we obtain that a structural matrix algebra over a field $k$ is Frobenius if and only if it consists, up to a permutation of rows and columns, of diagonal blocks which are full matrix algebras over $k$.
Dăscălescu, S. +2 more
openaire +2 more sources
Quasi-Polynomials of Capelli. II [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 This paper observes the continuation of the study of a certain kind of polynomials of type Capelli (Capelli quasi-polynomials) belonging to the free associative algebra F{X S Y } considered over an arbitrary field F and generated by two disjoint ...
Stepan Yuryevich Antonov +1 more
doaj +1 more source
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
doaj +1 more source
On Amenability-Like Properties of a Class of Matrix Algebras
Journal of Mathematics, 2022 In this study, we show that a matrix algebra ℒℳIpA is a dual Banach algebra, where A is a dual Banach algebra and 1≤p≤2. We show that ℒℳIpℂ is Connes amenable if and only if I is finite, for every nonempty set I.
M. Rostami, S. F. Shariati, A. Sahami
doaj +1 more source
The Cartan matrix of a centralizer algebra
Proceedings - Mathematical Sciences, 2012 The centralizer algebra of a matrix consists of those matrices that commute with it. We investigate the basic representation-theoretic invariants of centralizer algebras, namely their radicals, projective indecomposable modules, injective indecomposable modules, simple modules and Cartan matrices.
Dubey, Umesh V. +2 more
openaire +3 more sources