Results 21 to 30 of about 22,203 (182)
Tame triangular matrix algebras [PDF]
Colloquium Mathematicum, 2000 Let \(A\) be a finite dimensional \(k\)-algebra for \(k\) algebraically closed, such that the triangular matrix algebra \(T_2(A)\) is tame. It is known that in this case, \(A\) is of finite representation type and standard. In this paper, the authors describe, in terms of full, convex subcategories of \(\widetilde A\) (the universal Galois covering of \
Leszczyński, Zbigniew +1 more
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On Amenability-Like Properties of a Class of Matrix Algebras
Journal of Mathematics, 2022 In this study, we show that a matrix algebra ℒℳIpA is a dual Banach algebra, where A is a dual Banach algebra and 1≤p≤2. We show that ℒℳIpℂ is Connes amenable if and only if I is finite, for every nonempty set I.
M. Rostami, S. F. Shariati, A. Sahami
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Involutive triangular matrix algebras
Hacettepe Journal of Mathematics and Statistics, 2020 In this paper we provide new examples of Banach $ \ast $-subalgebras of the matrix algebra $M_n(\mathscr{A}) $ over a commutative unital $C^*$-algebra $\mathscr{A}$. For any involutive algebra, we define two involutions on the triangular matrix extensions. We prove that the triangular matrix algebras over any commutative unital $C^*$-algebra
Morteza AHMADİ, Ahmad MOUSSAVİ
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Abelian mirror symmetry of N $$ \mathcal{N} $$ = (2, 2) boundary conditions
Journal of High Energy Physics, 2021 We evaluate half-indices of N $$ \mathcal{N} $$ = (2, 2) half-BPS boundary conditions in 3d N $$ \mathcal{N} $$ = 4 supersymmetric Abelian gauge theories.
Tadashi Okazaki
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Representations of the quantum doubles of finite group algebras and solutions of the Yang--Baxter equation [PDF]
, 2005 Quantum doubles of finite group algebras form a class of quasi-triangular Hopf algebras which algebraically solve the Yang--Baxter equation. Each representation of the quantum double then gives a matrix solution of the Yang--Baxter equation.
Dancer, K. A., Isaac, P. S., Links, J.
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Representation dimensions of triangular matrix algebras
Linear Algebra and its Applications, 2013 19 ...
Yin, Hongbo, Zhang, Shunhua
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Graded isomorphisms on upper block triangular matrix algebras [PDF]
Linear Algebra and its Applications, 2018 We describe the graded isomorphisms of rings of endomorphisms of graded flags over graded division algebras. As a consequence describe the isomorphism classes of upper block triangular matrix algebras (over an algebraically closed field of characteristic zero) graded by a finite abelian group.
Alex Ramos Borges +2 more
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Minimal linear representations of the low-dimensional nilpotent lie algebras [PDF]
, 2008 The main goal of this paper is to compute a minimal matrix representation for each non-isomorphic nilpotent Lie algebra of dimension less than 6. Indeed, for each of these algebras, we search the natural number n ∈ N \ {1} such that the linear algebra ...
Benjumea Acevedo, Juan Carlos +2 more
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Triangular matrix and Koszul algebras
International Journal of Algebra, 2007 It is well known that Koszul algebras are quadratic and monomial quadratic algebras [7] and quadratic algebras of global dimension two are Koszul. It was also proved in [4] that algebras with a quadratic Groebner basis are Koszul, however there is no general characterization of Koszul algebras, hence it is of interest to construct new Koszul algebras ...
R. Martinez-Villa, G. Montano-Bermudez
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Tilting modules over triangular matrix algebras(三角矩阵代数的倾斜模)
Zhejiang Daxue xuebao. Lixue ban, 2006 设是三角矩阵代数，关于倾斜A-模T1，倾斜B-模T2何时能扩充为倾斜R-模的问题已有讨论.本文考察了倾斜R-模在Cokernel函子下是否还是倾斜模的问题.得到了如下结论：如果(X，Y，f）是倾斜R-模，f是单射，则Cok(y)是倾斜B-模.从而给出了单点扩张代数的倾斜模的结构.
WANGShu-gui(王树桂)
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