Results 11 to 20 of about 35,727 (292)
Triangular Matrix Representations
Journal of Algebra, 2000 AbstractIn this paper we develop the theory of generalized triangular matrix representation in an abstract setting. This is accomplished by introducing the concept of a set of left triangulating idempotents. These idempotents determine a generalized triangular matrix representation for an algebra.
Gary F. Birkenmeier +3 more
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Tame triangular matrix algebras [PDF]
Colloquium Mathematicum, 2000 Zbigniew Leszczyński +1 more
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Fourier transform as a triangular matrix [PDF]
Representation Theory of the American Mathematical Society, 2020 Let V V be a finite dimensional vector space over the field with two elements with a given nondegenerate symplectic form. Let [ V ] [V] be the vector space of complex valued functions on V V , and let [ V ] Z
G. Lusztig
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Universal localization of triangular matrix rings [PDF]
Proceedings of the American Mathematical Society, 2006 If R R is a triangular 2 × 2 2\times 2 matrix ring, the columns P P and Q Q are f.g. projective R R -modules. We describe the universal localization of R R which makes invertible an R R -module morphism
Desmond Sheiham
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Triangularizing Quadratic Matrix Polynomials [PDF]
SIAM Journal on Matrix Analysis and Applications, 2013 We show that any regular quadratic matrix polynomial can be reduced to an upper triangular quadratic matrix polynomial over the complex numbers preserving the finite and infinite elementary divisors. We characterize the real quadratic matrix polynomials that are triangularizable over the real numbers and show that those that are not triangularizable ...
Tisseur, Françoise, Zaballa, Ion
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Mixing of the upper triangular matrix walk [PDF]
Probability Theory and Related Fields, 2011 11 ...
Yuval Peres, Allan Sly
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Hereditary triangular matrix comonads [PDF]
Linear and Multilinear Algebra, 2015 We recognise Harada's generalized categories of diagrams as a particular case of modules over a monad defined on a finite direct product of additive categories. We work in the dual (albeit formally equivalent) situation, that is, with comodules over comonads. With this conceptual tool at hand, we obtain several of the Harada results with simpler proofs,
José Gómez-Torrecillas +1 more
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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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The inverse along a lower triangular matrix [PDF]
Applied Mathematics and Computation, 2012 In this paper, we investigate the recently defined notion of inverse along an element in the context of matrices over a ring. Precisely, we study the inverse of a matrix along a lower triangular matrix, under some conditions.
Mary, Xavier, Patrício, Pedro
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Relative Gorenstein Dimensions over Triangular Matrix Rings
Mathematics, 2021 Let A and B be rings, U a (B,A)-bimodule, and T=A0UB the triangular matrix ring. In this paper, several notions in relative Gorenstein algebra over a triangular matrix ring are investigated.
Driss Bennis +3 more
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