Results 11 to 20 of about 5,483 (201)
Jacobson’s conjecture and skew PBW extensions [PDF]
Revista Integración, 2014 The aim of this paper is to compute the Jacobson’s radical of skew PBW extensions over domains. As a consequence of this result we obtain a direct relation between these extensions and the Jacobson’s conjecture, which implies that skew PBW extensions ...
Armando Reyes
doaj +5 more sources
Universal Enveloping Algebras of PBW Type [PDF]
Glasgow Mathematical Journal, 2011 We continue our investigation of the general notion of universal enveloping algebra introduced in [A. Ardizzoni, "A Milnor-Moore Type Theorem for Primitively Generated Braided Bialgebras", J. Algebra 327 (2011), no. 1, 337--365].
ARDIZZONI, Alessandro
core +6 more sources
Centralizers in PBW Extensions [PDF]
, 2020 In this article we give a description for the centralizer of the coefficient ring R in the skew PBW extension. We give an explicit description in the quasi-commutative case and state a necessary condition in the general case.
Tumwesigye, Alex, +6 more
core +3 more sources
The PBW theorem for affine Yangians [PDF]
Transformation Groups, 2020 We prove that the Yangian associated to an untwisted symmetric affine Kac–Moody Lie algebra is isomorphic to the Drinfeld double of a shuffle algebra. The latter is constructed in [YZ14] as an algebraic formalism of cohomological Hall algebras.
Zhao, Gufang, Yang, Yaping
core +2 more sources
PBW-bases of quantum groups [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 1996 Ringel CM. PBW-bases of quantum groups. Journal für die reine und angewandte Mathematik.
Claus Michael Ringel +1 more
core +4 more sources
PBW-deformations of N-Koszul algebras [PDF]
Journal of Algebra, 2006 For a quotient algebra U of the tensor algebra we give explicit conditions on its relations for U being a PBW-deformation of an N-Koszul algebra A. We show that there is a one-to-one correspondence between such deformations and a class of A∞-structures ...
Vatne, Jon Eivind, Fløystad, Gunnar
core +3 more sources
Nakayama Automorphism of Some Skew PBW Extensions [PDF]
Ingeniería y Ciencia, 2019 Let R be an Artin-Schelter regular algebra and A = σ(R)⟨x1,...,xn⟩ a graded quasi-commutative skew PBW extension over R. In this paper we describe the Nakayama automorphism of A using the Nakayama automor- phism of the ring of coefficients R.
Héctor Suárez, Armando Reyes
doaj +3 more sources
Gelfand-kirillov dimension of skew pbw extensions [PDF]
, 2013 Gelfand-Kirillov dimension of Poincaré-Birkhoff-Witt (PBW for short) extensions was established by Matczuk ([15], Theorem A). Since PBW extensions are a particular example of skew PBWextensions (also called σ-PBW extensions), the aim of this paper is to ...
Reyes, Armando
core +4 more sources
PBW-deformations of graded rings [PDF]
Israel Journal of Mathematics, 2022 We prove in a very general framework several versions of the classical Poincaré-Birkhoff-Witt Theorem, which extend results from [BeGi, BrGa, CS, HvOZ, WW]. Applications and examples are discussed in the last part of the paper.
Ardizzoni, A, Saracco, P, Stefan, D
openaire +8 more sources
Young Tableaux, Multisegments, and PBW Bases [PDF]
, 2015 The crystals for finite dimensional representations of sln+1 can be realized using Young tableaux. The infinity crystal on the other hand is naturally realized using multisegments, and there is a simple description of each embedding B(λ) ,→ B(∞) in terms
Claxton, John, Tingley, Peter
core +5 more sources