Results 21 to 30 of about 34,345 (209)
Notes on formal deformations of quantum planes and universal enveloping algebras [PDF]
Journal of Physics: Conference Series, 2018 In these notes, we introduce formal hom-associative deformations of the quantum planes and the universal enveloping algebras of the twodimensional non-abelian Lie algebras.
Per Back
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On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras
International Journal of Mathematics and Mathematical Sciences, 2020 The relationship between JW-algebras (resp. JC-algebras) and their universal enveloping von Neumann algebras (resp. C∗-algebras) can be described as significant and influential. Examples of numerous relationships have been established.
F. B. H. Jamjoom, A. H. Al Otaibi
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Higher level Zhu algebras are subquotients of universal enveloping algebras [PDF]
, 2017 We prove that higher level Zhu algebras of a vertex operator algebra are isomorphic to subquotients of its universal enveloping algebra.
Xiao He
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New models for some free algebras of small ranks
Karpatsʹkì Matematičnì Publìkacìï, 2023 Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
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Algebras, traces, and boundary correlators in N $$ \mathcal{N} $$ = 4 SYM
Journal of High Energy Physics, 2021 We study supersymmetric sectors at half-BPS boundaries and interfaces in the 4d N $$ \mathcal{N} $$ = 4 super Yang-Mills with the gauge group G, which are described by associative algebras equipped with twisted traces.
Mykola Dedushenko, Davide Gaiotto
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The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras [PDF]
, 2017 In this paper, the so-called differential graded (DG for short) Poisson Hopf algebra is introduced, which can be considered as a natural extension of Poisson Hopf algebras in the differential graded setting.
Meng Guo +3 more
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Enveloping algebras of Malcev algebras [PDF]
, 2010 We first discuss the construction by Perez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both ...
Bremner, Murray R. +4 more
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Colored quantum universal enveloping algebras [PDF]
Journal of Mathematical Physics, 1997 We define some new algebraic structures, termed colored Hopf algebras, by combining the coalgebra structures and antipodes of a standard Hopf algebra set ℋ, corresponding to some parameter set 𝒬, with the transformations of an algebra isomorphism group 𝒢, herein called color group.
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UNIVERSAL ENVELOPING ALGEBRAS OF PBW TYPE [PDF]
Glasgow Mathematical Journal, 2011 AbstractWe 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(1) (2011), 337–365]. Namely, we study a universal enveloping algebra when it is of Poincaré–Birkhoff–Witt (PBW) type, meaning that a suitable ...
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Universal enveloping associative Rota–Baxter algebras of preassociative and postassociative algebra [PDF]
Journal of Algebra, 2017 Universal enveloping Rota–Baxter algebras of preassociative and postassociative algebras are constructed. The question of Li Guo is answered: the pair of varieties ( RB λ As , post As ) is a PBW-pair and the pair ( RB As , pre As ) is not.
V. Gubarev
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