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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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The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure [PDF]
, 2008 In this paper we investigate the algebraic structure of AdS/CFT in the strong-coupling limit. We propose an expression for the classical r-matrix with (deformed) u(2|2) symmetry, which leads to a quasi-triangular Lie bialgebra as the underlying symmetry ...
Beisert, N., Spill, F.
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Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra II
SciPost Physics, 2018 This article is a direct continuation of [1] where we begun the study of the transfer matrix spectral problem for the cyclic representations of the trigonometric 6-vertex reflection algebra associated to the Bazhanov-Stroganov Lax operator.
J. M. Maillet, G. Niccoli, B. Pezelier
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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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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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International Journal of Mathematics and Mathematical Sciences, 2012 Let Cl+1(R) be the 2(l+1)×2(l+1) matrix symplectic Lie algebra over a commutative ring R with 2 invertible. Then tl+1CR = {m-1m-20-m-1T ∣ m̅1 is an l+1 upper triangular matrix, m̅2T=m̅2, over R} is the solvable subalgebra of Cl+1(R).
Xing Tao Wang, Lei Zhang
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Lattice-ordered triangular matrix algebras
Journal of Algebra, 2009 The set \(T^0_n\) of all \((n\times n)\)-matrices \(E_{ij}\) defined for \(1\leq i\leq j\leq n\) such that the \(ij\)-entry is equal to \(1\) and all other entries are 0, including the zero matrix, forms a semigroup with respect to the usual matrix multiplication, the semigroup of triangular matrix units.
Ma, Jingjing, March, Ellen
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Derivations and the first cohomology group of trivial extension algebras
, 2017 In this paper we investigate in details derivations on trivial extension algebras. We obtain generalizations of both known results on derivations on triangular matrix algebras and a known result on first cohomology group of trivial extension algebras. As
Bennis, Driss, Fahid, Brahim
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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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Gorenstein triangular matrix rings and category algebras [PDF]
Journal of Pure and Applied Algebra, 2016 17 ...
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