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σ-centralizers of generalized matrix algebras

open access: yesMiskolc Mathematical Notes, 2023
. In the present paper, we characterize Lie (Jordan) σ -centralizers of generalized matrix algebras. More precisely, we obtain some conditions under which every Lie σ -centralizer of a generalized matrix algebra can be expressed as the sum of a σ ...
Ashraf, Mohammad   +1 more
openaire   +3 more sources

A note on quiver Yangians and ℛ-matrices

open access: yesJournal of High Energy Physics, 2022
In this note, we study possible ℛ-matrix constructions in the context of quiver Yangians and Yang-Baxter algebras. For generalized conifolds, We also discuss the relations between the quiver Yangians and some other Yangian algebras (and W $$ \mathcal{W} $
Jiakang Bao
doaj   +1 more source

Vinberg's T-algebras: From exceptional periodicity to black hole entropy

open access: yesSciPost Physics Proceedings, 2023
We introduce the so-called Magic Star (MS) projection within the root lattice of finite-dimensional exceptional Lie algebras, and relate it to rank-3 simple and semi-simple Jordan algebras.
Alessio Marrani
doaj   +1 more source

On Additivity of Jordan Higher Mappings on Generalized Matrix Algebras

open access: yes, 2021
In this article, the additivity of higher multiplicative mappings, i.e., Jordan mappings, on generalized matrix algebras are studied. Also, the definition of Jordan higher triple product homomorphism is introduced and its additivity on generalized matrix
R. C. Shaheen
semanticscholar   +1 more source

Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements

open access: yesJournal of Mathematics, 2021
The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements.
Xiuhai Fei, Haifang Zhang
doaj   +1 more source

Miscellaneous reverse order laws and their equivalent facts for generalized inverses of a triple matrix product

open access: yesAIMS Mathematics, 2021
Reverse order laws for generalized inverses of products of matrices are a class of algebraic matrix equalities that are composed of matrices and their generalized inverses, which can be used to describe the links between products of matrix and their ...
Yongge Tian
doaj   +1 more source

Generalized Heisenberg–Virasoro algebra and matrix models from quantum algebra

open access: yesJournal of Mathematical Physics, 2023
In this paper, we construct the Heisenberg–Virasoro algebra in the framework of the R(p,q)-deformed quantum algebras. Moreover, the R(p,q)-Heisenberg–Witt n-algebras is also investigated. Furthermore, we generalize the notion of the elliptic Hermitian matrix models.
Fridolin Melong, Raimar Wulkenhaar
openaire   +3 more sources

Reliable Generation of High-Performance Matrix Algebra [PDF]

open access: yesACM Transactions on Mathematical Software, 2015
Scientific programmers often turn to vendor-tuned Basic Linear Algebra Subprograms (BLAS) to obtain portable high performance. However, many numerical algorithms require several BLAS calls in sequence, and those successive calls do not achieve optimal performance. The entire sequence needs to be optimized in concert.
Nelson, Thomas   +4 more
openaire   +2 more sources

Non-local matrix generalizations ofW-algebras [PDF]

open access: yesCommunications in Mathematical Physics, 1995
43 pages, a reference and a remark on the conformal properties for $U_1\ne 0 ...
openaire   +4 more sources

Generalized Munn rings

open access: yesOpen Mathematics, 2022
Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
doaj   +1 more source

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