Results 1 to 10 of about 22,203 (182)
Hochschild Cohomology of Triangular Matrix Algebras
Journal of Algebra, 2000 In the last years, the study of the Hochschild cohomology has played an important role in the representation theory of finite dimensional algebras. In the paper under review, the authoresses study the Hochschild cohomology of a triangular matrix algebra of the form \(B=\left(\begin{smallmatrix} R &0\\ M &A\end{smallmatrix}\right)\).
Michelena, Sandra, Platzeck, Maria Ines
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Algorithms, 2023 It is well known that ω-circulant matrices with ω≠0 can be simultaneously diagonalized by a transform matrix, which can be factored as the product of a diagonal matrix, depending on ω, and of the unitary matrix Fn associated to the Fast Fourier Transform.
Rafael Díaz Fuentes +2 more
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Nonlinear maps preserving Lie products on triangular algebras
Special Matrices, 2016 In this paper we prove that every bijection preserving Lie products from a triangular algebra onto a normal triangular algebra is additive modulo centre.
Yu Weiyan
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Presentation by Borel subalgebras and Chevalley generators for quantum enveloping algebras [PDF]
, 2005 We provide an alternative approach to the Faddeev-Reshetikhin-Takhtajan presentation of the quantum group U_q(g), with L-operators as generators and relations ruled by an R-matrix. We look at U_q(g) as being generated by the quantum Borel subalgebras U_q(
Gavarini, Fabio
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Cohomology of split algebras and of trivial extensions [PDF]
, 2001 We consider associative algebras L over a field provided with a direct sum decomposition of a two-sided ideal M and a sub-algebra A - examples are provided by trivial extensions or triangular type matrix algebras.
Cibils, Claude +3 more
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Han's conjecture and Hochschild homology for null-square projective algebras [PDF]
, 2019 Let $\mathcal H$ be the class of algebras verifying Han's conjecture. In this paper we analyse two types of algebras with the aim of providing an inductive step towards the proof of this conjecture.
Cibils, Claude +2 more
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Brownian motion on a smash line [PDF]
, 2000 Brownian motion on a smash line algebra (a smash or braided version of the algebra resulting by tensoring the real line and the generalized paragrassmann line algebras), is constructed by means of its Hopf algebraic structure.
Ellinas, Demosthenes +1 more
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Triangular matrix algebras over Hensel rings [PDF]
Proceedings of the American Mathematical Society, 1973 Let (R, m) be a local Hensel ring and A an algebra over R which is finitely generated and projective as an R-module. If A contains a complete set of mutually orthogonal primitive idempotents e 1 , ⋯ , e n {e_1 ...
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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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Involutions for upper triangular matrix algebras
Advances in Applied Mathematics, 2006 The first result in the paper under review is the description of the involutions of the first kind (which fix the centre) of the algebra \(UT_n(F)\) of \(n\times n\) upper triangular matrices over a field of characteristic different from 2. The authors show that, up to isomorphism of algebras with involution, there are two types of involutions.
DI VINCENZO, Onofrio Mario +2 more
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