Results 1 to 10 of about 34 (34)
Noncommutative symmetric functions III : Deformations of Cauchy and convolution algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 [in "Special Issue : Lie Computations", G. Jacob, V. Koseleff, Eds.]
Gérard Duchamp +3 more
doaj +1 more source
Weak polynomial identities and their applications [PDF]
, 2021 summary:Let $R$ be an associative algebra over a field $K$ generated by a vector subspace $V$. The polynomial $f(x_1,\ldots ,x_n)$ of the free associative algebra $K\langle x_1,x_2,\ldots \rangle $ is a weak polynomial identity for the pair $(R,V)$ if it
Drensky, Vesselin
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Twisted Poincare duality for some quadratic Poisson algebras [PDF]
, 2007 We exhibit a Poisson module restoring a twisted Poincaré duality between Poisson homology and cohomology for the polynomial algebra R=C[X1Xn] endowed with Poisson bracket arising from a uniparametrised quantum affine space.
Stéphane Launois +3 more
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Zassenhaus conjecture for central extensions of S5 [PDF]
, 2008 We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Bódi, Viktor +4 more
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Noncommutative resolutions of ADE fibered Calabi-Yau threefolds [PDF]
, 2010 In this paper we construct noncommutative resolutions of a certain class of Calabi-Yau threefolds studied by F. Cachazo, S. Katz and C. Vafa. The threefolds under consideration are fibered over a complex plane with the fibers being deformed Kleinian ...
Boer, A.L. +5 more
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Primitive ideals and automorphisms of quantum matrices. [PDF]
, 2007 Let K be a field and q be a nonzero element of K that is not a root of unity. We give a criterion for (0) to be a primitive ideal of the algebra O-q(M-m,M-n) of quantum matrices.
Lenagan, T.H. +3 more
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The first Hochschild cohomology group of quantum matrices and the quantum special linear group [PDF]
, 2007 We calculate the first Hochschild cohomology group of quantum matrices, the quantum general linear group and the quantum special linear group in the generic case when the deformation parameter is not a root of unity. As a corollary, we obtain information
Lenagan, T.H., Launois, Stephane
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Operads of decorated trees and their duals [PDF]
, 2014 summary:This is an extended version of a talk presented by the second author on the Third Mile High Conference on Nonassociative Mathematics (August 2013, Denver, CO). The purpose of this paper is twofold.
Gubarev, Vsevolod Yu. +1 more
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Some homological properties of Jordan plane [PDF]
, 2018 1 recurso en línea (páginas 69-82).The Jordan plane can be seen as a quotient algebra, as a graded Ore extension and as a graded skew PBW extension. Using these interpretations, it is proved that the Jordan plane is an Artin-Schelter regular algebra and ...
Suárez Suárez, Héctor Julio +1 more
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Problema de cancelación de Zariski para extenciones P BW torcidas
, 2020 A special question for noncommutative algebras is Zariski cancellation problem. In this thesis we establish cancellation for some special classes of algebras such as skew PBW extensions, some Artin--Schelter regular algebras and universal enveloping ...
Venegas Ramírez, Helbert Javier
core +1 more source