Results 271 to 280 of about 216,282 (303)

General Algebra and Linear Transformations Preserving Matrix Invariants

Journal of Mathematical Sciences, 2005
The theory of linear transformations preserving matrix invariants dates back to 1987, when Georg Frobenius characterized bijective linear transformations preserving the determinant for matrices over the field of complex numbers. During the past century this theory was intensively developed in different directions.
Guterman, A. E., Mikhalev, A. V.
openaire   +2 more sources

Algebraic techniques for least squares problem over generalized quaternion algebras: A unified approach in quaternionic and split quaternionic theory

Mathematical methods in the applied sciences, 2019
This paper aims to present, in a unified manner, algebraic techniques for least squares problem in quaternionic and split quaternionic mechanics. This paper, by means of a complex representation and a real representation of a generalized quaternion ...
Gang Wang, Zhenwei Guo, Dong Zhang, T. Jiang   +3 more
semanticscholar   +1 more source

Q-data and Representation Theory of Untwisted Quantum Affine Algebras

Communications in Mathematical Physics, 2020
For a complex finite-dimensional simple Lie algebra g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Ryo Fujita, Se-jin Oh
semanticscholar   +1 more source

Matrix generalized (θ, ϕ)-derivations on matrix Banach algebras

Mathematica Slovaca, 2018
Abstract We introduce the concept of matrix generalized (θ, ϕ)-derivations on matrix normed algebras, and prove the Hyers-Ulam stability of matrix generalized (θ, ϕ)-derivations on matrix Banach algebras.
Batool, Afshan, Kamran, Tayyab, Park, Choonkil   +2 more
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Representations of Frobenius-type triangular matrix algebras

, 2015
The aim of this paper is mainly to build a new representation-theoretic realization of finite root systems through the so-called Frobenius-type triangular matrix algebras by the method of reflection functors over any field.
Fang Li, Chang Ye
semanticscholar   +1 more source

κ-deformation of phase space; generalized Poincaré algebras and R-matrix

, 2012
A bstractWe deform a phase space (Heisenberg algebra and corresponding coalgebra) by twist. We present undeformed and deformed tensor identities that are crucial in our construction. Coalgebras for the generalized Poincaré algebras have been constructed.
S. Meljanac, A. Samsarov, R. Štrajn
semanticscholar   +1 more source

A generalized matrix differential-algebraic equation

Journal of Mathematical Sciences, 2015
This paper is concerned with a linear boundary value problem for a generalized matrix differential-algebraic equation, which is described by a differential-algebraic matrix operator and an algebraic one. Conditions for the solvability and the structure of the generalized Green operator associated with the boundary value problem are established.
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ON GENERALIZED JORDAN DERIVATIONS OF GENERALIZED MATRIX ALGEBRAS

, 2020
M. Ashraf, A. Jabeen
semanticscholar   +1 more source

Algebraic Generalizations of Matrix Varieties

2023
Marek Golasiński, Francisco Gómez Ruiz
openaire   +1 more source

Generalized Lie triple derivations on generalized matrix algebras

Communications in Algebra, 2022
Mohd Shuaib Akhtar, Mohammad Ashraf, Mohammad Afajal Ansari   +2 more
openaire   +1 more source