Results 41 to 50 of about 809,033 (313)
Constants of Weitzenb\"ock derivations and invariants of unipotent transformations acting on relatively free algebras [PDF]
, 2004 In commutative algebra, a Weitzenb\"ock derivation is a nonzero triangular linear derivation of the polynomial algebra $K[x_1,...,x_m]$ in several variables over a field $K$ of characteristic 0.
Alev +73 more
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The Characterization of Generalized Jordan Centralizers on Triangular Algebras
Journal of Function Spaces, 2018 In this paper, it is shown that if T=Tri(A,M,B) is a triangular algebra and ϕ is an additive operator on T such that (m+n+k+l)ϕ(T2)-(mϕ(T)T+nTϕ(T)+kϕ(I)T2+lT2ϕ(I))∈FI for any T∈T, then ϕ is a centralizer. It follows that an (m,n)- Jordan centralizer on a
Quanyuan Chen +2 more
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Triangular decomposition of right coideal subalgebras [PDF]
, 2010 Let $\mathfrak g$ be a Kac-Moody algebra. We show that every homogeneous right coideal subalgebra $U$ of the multiparameter version of the quantized universal enveloping algebra $U_q(\mathfrak{g}),$ $q^m\neq 1$ containing all group-like elements has a ...
Heckenberger +8 more
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On families of triangular Hopf algebras [PDF]
International Mathematics Research Notices, 2001 Following the ideas of our previous works math.QA/0008232 (joint with Andruskiewitsch) and math.QA/0101049, we study families of triangular Hopf algebras obtained by twisting finite supergroups by a twist lying entirely in the odd part. These families are parametrized by data (G,V,u,B), where G is a finite group, V its finite dimensional representation,
Pavel Etingof, Shlomo Gelaki
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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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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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Noncommutative Tensor Triangular Geometry and the Tensor Product Property for Support Maps [PDF]
International mathematics research notices, 2020 The problem of whether the cohomological support map of a finite dimensional Hopf algebra has the tensor product property has attracted a lot of attention following the earlier developments on representations of finite group schemes.
D. Nakano, Kent B. Vashaw, M. Yakimov
semanticscholar +1 more source
Primitive Triangular UHF Algebras
Journal of Functional Analysis, 1998 AbstractWe prove that a large class of triangular UHF algebras are primitive. We use two avenues to obtain our results: a direct approach in which we explicitly construct a faithful, algebraically irreducible representation of the algebra on a separable Hilbert space, as well as an indirect, algebraic approach which utilizes the prime ideal structure ...
Timothy D. Hudson, Elias G. Katsoulis
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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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Triangular decomposition of semi-algebraic systems [PDF]
Journal of Symbolic Computation, 2010 8 pages, accepted by ISSAC ...
James H. Davenport +5 more
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