Results 31 to 40 of about 3,056 (285)

Construction of an algebra corresponding to a statistical model of the square ladder (square lattice with two lines)

Nuclear Physics B, 2022
In this paper we define infinite-dimensional algebra and its representation, whose basis is naturally identified with semi-infinite configurations of the square ladder model (square lattice with two lines). All these lead to representation of N=2 algebra.
Valerii Sopin
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On ℤn-graded identities of block-triangular matrices [PDF]

, 2015
The algebra of (Formula presented.) matrices over a field (Formula presented.) has a natural (Formula presented.) -grading. Its graded identities have been described by Vasilovsky who extended a previous work of Di Vincenzo for the algebra of (Formula ...
Centrone L., de Mello T. C., Mello, Thiago Castilho de, Centrone, Lucio   +3 more
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Triangular decomposition of semi-algebraic systems [PDF]

Journal of Symbolic Computation, 2010
8 pages, accepted by ISSAC ...
Changbo Chen, James H. Davenport, John P. May, Marc Moreno Maza, Bican Xia, Rong Xiao 0004   +5 more
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Elementary gradings on the Lie algebra Utn(−) [PDF]

, 2017
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)The algebras UTn(K) of the upper triangular matrices over a ...
Yukihide, Felipe, Koshlukov, Plamen
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The Characterization of Generalized Jordan Centralizers on Triangular Algebras

Journal of Function Spaces, 2018
In this paper, it is shown that if T=Tri(A,M,B) is a triangular algebra and ϕ is an additive operator on T such that (m+n+k+l)ϕ(T2)-(mϕ(T)T+nTϕ(T)+kϕ(I)T2+lT2ϕ(I))∈FI for any T∈T, then ϕ is a centralizer. It follows that an (m,n)- Jordan centralizer on a
Quanyuan Chen, Xiaochun Fang, Changjing Li   +2 more
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Nilpotent Lie algebras of derivations with the center of small corank

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi, L.Z. Mashchenko, A.P. Petravchuk   +2 more
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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
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n -Derivations of triangular algebras

Linear Algebra and its Applications, 2013
Let \(\mathcal A\) be a triangular algebra. Let \(n\geq 2\) be an integer. A mapping \(\varphi\colon\mathcal A\times\mathcal A\times\cdots\times\mathcal A\to\mathcal A\) is said to be an \(n\)-derivation if it is a derivation in each argument. In this paper the authors mainly investigate \(n\)-derivations (\(n\geq 3\)) for a certain class of triangular
Wang, Yao, Wang, Yu, Du, Yiqiu
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A note on cocharacter sequence of Jordan upper triangular matrix algebra [PDF]

, 2017
Let UJn(F) be the Jordan algebra of n × n upper triangular matrices over a field F of characteristic zero. This paper is devoted to the study of polynomial identities satisfied by UJ2(F) and UJ3(F). In particular, the goal is twofold.
Centrone L., Martino F.
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Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices

Journal of Mathematics, 2022
In this paper, the strongly ad-nilpotent elements of the Lie algebra tn,ℂ of upper triangular complex matrices are studied. We prove that all the nilpotent matrices in tn,ℂ are strongly ad-nilpotent if and only if n≤6. Additionally, we prove that all the
Zhiguang Hu
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