Results 1 to 10 of about 812,891 (203)
Essentially triangular algebras [PDF]
Proceedings of the American Mathematical Society, 1986 If N \mathcal {N} is a nest, then the set of all bounded linear ...
J. A. Erdös, Alan Hopenwasser
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Waring problem for triangular matrix algebra [PDF]
Linear Algebra and its Applications, 2023 The Matrix Waring problem is if we can write every matrix as a sum of $k$-th powers. Here, we look at the same problem for triangular matrix algebra $T_n(\mathbb{F}_q)$ consisting of upper triangular matrices over a finite field. We prove that for all integers $k, n \geq 1$, there exists a constant $\mathcal C(k, n)$, such that for all $q> \mathcal ...
Kaushik, Rahul, Singh, Anupam
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Triangular matrix algebras over quasi-hereditary algebras
Tsukuba Journal of Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Triangular algebras and ideals of nest algebras [PDF]
Memoirs of the American Mathematical Society, 1995 Let \({\mathcal H}\) be a separable Hilbert space and \({\mathcal T}\subseteq{\mathcal B}({\mathcal H})\) be an algebra of bounded operators. Say \({\mathcal T}\) is triangular if \({\mathcal T}\cap{\mathcal T}^*\) is a maximal abelian selfadjoint subalgebra (m.a.s.a.) of \({\mathcal B}({\mathcal H})\) and call this m.a.s.a. the diagonal of \({\mathcal
John Lindsay Orr
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Transposed Poisson structures on the Lie algebra of upper triangular matrices [PDF]
Portugaliae Mathematica, 2023 We describe transposed Poisson structures on the upper triangular matrix Lie algebra $T_n(F)$, $n>1$, over a field $F$ of characteristic zero. We prove that, for $n>2$, any such structure is either of Poisson type or the orthogonal sum of a fixed non ...
Ivan Kaygorodov, Mykola Khrypchenko
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Hochschild Cohomology of Triangular Matrix Algebras
Journal of Algebra, 2000 In the last years, the study of the Hochschild cohomology has played an important role in the representation theory of finite dimensional algebras. In the paper under review, the authoresses study the Hochschild cohomology of a triangular matrix algebra of the form \(B=\left(\begin{smallmatrix} R &0\\ M &A\end{smallmatrix}\right)\).
Sandra Michelena +1 more
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Triangular Decomposition of the Composition Algebra of the Kronecker Algebra
Journal of Algebra, 1996 Let \(K\) be a finite field and let \(R\) be a finite dimensional \(K\)-algebra. Denote by \(S_1,\ldots,S_n\) a complete set of pairwise non-isomorphic simple right \(R\)-modules. Given a finite right \(R\)-module \(M\) we denote by \(\mathbf{dim} M=(m_1,\dots,m_n)\) the dimension vector of \(M\) in \(\mathbb{Z}^n\), that is the coordinate \(m_j\) is ...
Pu Zhang
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The Lattice of Ideals of a Triangular AF Algebra
Journal of Functional Analysis, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Donsig, Allan P, Hudson, Timothy D
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Characterizing Jordan embeddings between block upper-triangular subalgebras via preserving properties [PDF]
Linear Algebra and its Applications, 2023 Let $M_n$ be the algebra of $n \times n$ complex matrices. We consider arbitrary subalgebras $\mathcal{A}$ of $M_n$ which contain the algebra of all upper-triangular matrices (i.e.\ block upper-triangular subalgebras), and their Jordan embeddings.
Ilja Gogi'c, T. Petek, Mateo Tomašević
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The image of polynomials and Waring type problems on upper triangular matrix algebras [PDF]
Journal of Algebra, 2022 Let $p$ be a polynomial in non-commutative variables $x_1,x_2,\ldots,x_n$ with constant term zero over an algebraically closed field $K$. The object of study in this paper is the image of this kind of polynomial over the algebra of upper triangular ...
S. Panja, Sachchidanand Prasad
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