Results 21 to 30 of about 426,444 (272)

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., Iovanov, M. C., Preduţ, 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, Alina Vladimirovna Vladimirovna Antonova   +1 more
doaj   +1 more source

Symmetry and Integrability of Non-Singlet Sectors in Matrix Quantum Mechanics [PDF]

, 2006
We study the non-singlet sectors of matrix quantum mechanics (MQM) through an operator algebra which generates the spectrum. The algebra is a nonlinear extension of the W_\infty algebra where the nonlinearity comes from the angular part of the matrix ...
Agarwal A Polychronakos A P, Awata H, Corley S, Date E Jimbo M Kashiwara M Miwa T Jimbo M Miwa T, Fidkowski L, Fulton W, Gaiotto D, Maldacena J M, Maldacena J M, Polychronakos A P, Stanley R P, Weyl H, Yasuyuki Hatsuda, Yutaka Matsuo   +13 more
core   +2 more sources

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

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

PERMANENT AND DOMINANT OF MATRIX OVER INTERVAL MIN-PLUS ALGEBRA

Barekeng
A min-plus algebra is a set , where is the set of all real numbers equipped with two binary operations, namely minimum and addition . Every square matrix in min-plus algebra can always be calculated as a permanent and dominant matrix.
Ade Safira Septiany, Siswanto Siswanto, Vika Yugi Kurniawan   +2 more
doaj   +1 more source

Method of general Coule–Hopf substitutions in theory of finite-dimensional dynamical systems

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
We consider the results of applying the method of generic Cole–Hopf substitutions to integration of finite-dimensional dynamical systems. Dynamical systems are represented in the form of matrix ordinary differential equations with specific matrix algebra
C. S. Obrubov, V. M. Zhuravlev
doaj   +1 more source

A braided Yang-Baxter Algebra in a Theory of two coupled Lattice Quantum KdV: algebraic properties and ABA representations

, 2001
A generalization of the Yang-Baxter algebra is found in quantizing the monodromy matrix of two (m)KdV equations discretized on a space lattice. This braided Yang-Baxter equation still ensures that the transfer matrix generates operators in involution ...
Baxter R J, Bazhanov V V, Bernard D, D Fioravanti, Drinfeld V G, Drinfeld V G, Drinfeld V G, Drinfeld V G, Faddeev L, Faddeev L, Faddeev L D, Faddeev L D, Faddeev L D, Feigin B, Feigin B, Feigin B L, Fioravanti D, Fioravanti D, Fioravanti D, Gelfand I M, Gervais J L, Hlavaty L, Itzykson C, Jimbo M, Korepin V E, Kundu A, Kundu A, Kupershmidt B A, Lax P, Lukyanov S, M Rossi, Miura R M, Polyakov A M, Reshetikhin N, Sasaki R, Sklyanin E K, Sklyanin E K, Smirnov F A, Yurov V P, Zamolodchikov A, Zamolodchikov A B   +40 more
core   +1 more source

Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra

JTAM (Jurnal Teori dan Aplikasi Matematika)
A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix.
Anita Dwi Rahmawati, Siswanto Siswanto, Supriyadi Wibowo   +2 more
doaj   +1 more source

A Quantum Affine Algebra for the Deformed Hubbard Chain

, 2012
The integrable structure of the one-dimensional Hubbard model is based on Shastry's R-matrix and the Yangian of a centrally extended sl(2|2) superalgebra.
Beisert, Niklas, Galleas, Wellington, Matsumoto, Takuya   +2 more
core   +1 more source