Results 31 to 40 of about 14,768 (152)

On a matrix álgebra without matrices

Selecciones Matemáticas, 2019
We enlarge a previus introduction to the two-dimensional geometric algebra published in Volume 05(02) of SELECCIONES MATEMÁTICAS. It is a friendly introduction of a theme of common interest for university proffessors and students of physics and ...
Edgar Vera Saravia
doaj   +1 more source

The dynamical U(n) quantum group

International Journal of Mathematics and Mathematical Sciences, 2006
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix given by Etingof and Varchenko. A left and a right corepresentation of this algebra, which can be seen as analogues of the exterior algebra representation ...
Erik Koelink, Yvette Van Norden
doaj   +1 more source

gln+1 ALGEBRA OF MATRIX DIFFERENTIAL OPERATORS AND MATRIX QUASI-EXACTLY-SOLVABLE PROBLEMS

Acta Polytechnica, 2013
The generators of the algebra gln+1 in the form of differential operators of the first order acting on Rn with matrix coefficients are explicitly written.
Yuri F. Smirnov, Alexander Turbiner
doaj   +1 more source

Approximate Biprojectivity of ℓ1-Munn Banach Algebras

Journal of Mathematics, 2022
In the present paper, we study the approximate biprojectivity and weak approximate biprojectivity of ℓ1-Munn Banach algebras when the related sandwich matrix is regular over InvA.
G. Zarei, A. Pourabbas, M. Rostami, A. Sahami   +3 more
doaj   +1 more source

Arens Regularity and Weak Amenability of Certain Matrix Algebras [PDF]

Journal of Sciences, Islamic Republic of Iran, 2006
Motivated by an Arens regularity problem, we introduce the concepts of matrix Banach space and matrix Banach algebra. The notion of matrix normed space in the sense of Ruan is a special case of our matrix normed system.
doaj  

gl3 ALGEBRA IN MIXED MATRIX REPRESENTATIONS

Acta Polytechnica
It is demonstrated that the so-called mixed realization of the gl3 algebra generators in terms of matrix differential operators in two variables, as presented by Smirnov-Turbiner (2013), can be “lifted” into the action in the Fock space associated with ...
Alexander V. Turbiner
doaj   +1 more source

On the Lie structure of locally matrix algebras

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $A$ be a unital locally matrix algebra over a field $\mathbb{F}$ of characteristic different from $2.$ We find a necessary and sufficient condition for the Lie algebra $A\diagup\mathbb{F}\cdot 1$ to be simple and for the Lie algebra of derivations ...
O. Bezushchak
doaj   +1 more source

Derivations and automorphisms of locally matrix algebras and groups

Доповiдi Нацiональної академiї наук України
We describe derivations and automorphisms of infinite tensor products of matrix algebras. Using this description, we show that, for a countable–dimensional locally matrix algebra A over a field F, the dimension of the Lie algebra of outer derivations of ...
O.O. Bezushchak
doaj   +1 more source

Method of general Сoule-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
Victor M Zhuravlev, Konstantin S Obrubov
doaj  

Yang–Baxter maps, discrete integrable equations and quantum groups

Nuclear Physics B, 2018
For every quantized Lie algebra there exists a map from the tensor square of the algebra to itself, which by construction satisfies the set-theoretic Yang–Baxter equation.
Vladimir V. Bazhanov, Sergey M. Sergeev
doaj   +1 more source