Results 51 to 60 of about 809,033 (313)
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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Computing homological residue fields in algebra and topology [PDF]
Proceedings of the American Mathematical Society, 2020 We determine the homological residue fields, in the sense of tensor-triangular geometry, in a series of concrete examples ranging from topological stable homotopy theory to modular representation theory of finite groups.
Paul Balmer, James C. Cameron
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Triangular decomposition of skein algebras [PDF]
Quantum Topology, 2018 By introducing a finer version of the Kauffman bracket skein algebra, we show how to decompose the Kauffman bracket skein algebra of a surface into elementary blocks corresponding to the triangles in an ideal triangulation of the surface. The newskein algebra of an ideal triangle has a simple presentation.
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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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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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Triangular dynamical r-matrices and quantization [PDF]
, 2001 We provide a general study for triangular dynamical r-matrices using Poisson geometry. We show that a triangular dynamical r-matrix always gives rise to a regular Poisson manifold.
Xu, Ping
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Journal of Functional Analysis, 1990 AbstractIn this paper we classify triangular UHF algebras. The generic triangular UHF algebra is constructed as follows. Let (pn) be any sequence of positive integers such that pm|pn whenever m ⩽ n. For each n let Tpn be the algebra of all pn × pn upper triangular complex matrices, and for m ⩽ n, let σpn·pm: Tpm → Tpn be the mapping, x↦1d⊗x, where d ...
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Operators on triangular algebras
Linear Algebra and its Applications, 2016 Abstract We study the algebra of differential operators on the triangular algebras and the upper triangular algebras. We further identify all the ideals of the algebra of differential operators on the upper triangular algebras.
M. Sumanth Datt +2 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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