Results 31 to 40 of about 886,706 (230)
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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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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Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra
International Journal of Mathematics and Mathematical Sciences, 2005 We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss +1 more
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Combinatorial Hopf algebra of supercharacters of type D [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We provide a Hopf algebra structure on the supercharacter theory for the unipotent upper triangular group of type {D} over a finite field. Also, we make further comments with respect to types {B} and {C}. Type {A} was explored by M. Aguiar et. al (2010),
Carolina Benedetti
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Triangular lat-igusa-todorov algebras
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022 This article has been submitted to a peer review ...
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Groups of triangular automorphisms of a free associative algebra and a polynomial algebra [PDF]
, 2010 We study a structure of the group of unitriangular automorphisms of a free associative algebra and a polynomial algebra and prove that this group is a semi direct product of abelian groups.
V. Bardakov +2 more
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Determinantal Construction of Orthogonal Polynomials Associated with Root Systems [PDF]
, 2003 We consider semisimple triangular operators acting in the symmetric component of the group algebra over the weight lattice of a root system. We present a determinantal formula for the eigenbasis of such triangular operators.
Lapointe, Luc +2 more
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Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra
JTAM (Jurnal Teori dan Aplikasi Matematika)A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix.
Anita Dwi Rahmawati +2 more
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Derivations of certain operator algebras
International Journal of Mathematics and Mathematical Sciences, 2000 Let 𝒩 be a nest and let 𝒜 be a subalgebra of L(H) containing all rank one operators of alg 𝒩. We give several conditions under which any derivation δ from 𝒜 into L(H) must be inner.
Jiankui Li, Hemant Pendharkar
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Factorisation of orthogonal projectors
Математичні Студії, 2021 We study the problem of a special factorisation of an orthogonal projector~$P$ acting in the Hilbert space $L_2(\mathbb R)$ with $\dim\ker ...
N. S. Sushchyk, V. M. Degnerys
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