Results 11 to 20 of about 14,501 (209)
Universal Enveloping Algebras of Lie Antialgebras [PDF]
Algebras and Representation Theory, 2010 Lie antialgebras is a class of supercommutative algebras recently appeared in symplectic geometry. We define the notion of enveloping algebra of a Lie antialgebra and study its properties.
Leidwanger, Séverine +1 more
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Universal Enveloping Commutative Rota–Baxter Algebras of Pre- and Post-Commutative Algebras
Axioms, 2017 Universal enveloping commutative Rota–Baxter algebras of pre- and post-commutative algebras are constructed. The pair of varieties (RBλCom, postCom) is proved to be a Poincaré–Birkhoff–Witt-pair (PBW)-pair and the pair (RBCom, preCom) is proven not to be.
Vsevolod Gubarev
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On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras [PDF]
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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An Integral Basis for the Universal Enveloping Algebra of the Onsager\n Algebra [PDF]
Communications in Algebra, 2020 We construct an integral form for the universal enveloping algebra of the Onsager algebra and an explicit integral basis for this integral form. We also formulate straightening identities among some products of basis elements.
Angelo Bianchi, Samuel Chamberlin
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Integral Bases for the Universal Enveloping Algebras of Map Algebras [PDF]
Journal of Algebra, 2011 Given a finite-dimensional, complex simple Lie algebra we exhibit an integral form for the universal enveloping algebra of its map algebra, and an explicit integral basis for this integral form.
Chamberlin, Samuel H.
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From Quantum Universal Enveloping Algebras to Quantum Algebras [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 The ``local'' structure of a quantum group G_q is currently considered to be an infinite-dimensional object: the corresponding quantum universal enveloping algebra U_q(g), which is a Hopf algebra deformation of the universal enveloping algebra of a n ...
A Ballesteros +18 more
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Do n-Lie Algebras Have Universal Enveloping Algebras? [PDF]
Journal of Lie Theory, 2018 The aim of this paper is to investigate in which sense, for $n\geq 3$, $n$-Lie algebras admit universal enveloping algebras. There have been some attempts at a construction (see [10] and [5]) but after analysing those we come to the conclusion that they cannot be valid in general. We give counterexamples and sufficient conditions.
Xabier García‐Martínez +2 more
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Yangians and universal enveloping algebras [PDF]
Journal of Soviet Mathematics, 1989 The author constructs an associative algebra A by a two-fold limit procedure taking first the projective limit \(A_ m\) of suitably chosen subalgebras \(A_ m(n)\) of the enveloping algebras U(\({\mathfrak gl}(n))\), and then the direct limit with respect to \(m\to \infty\).
Grigori Olshanski
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Universal enveloping algebras of Poisson Ore extensions [PDF]
, 2014 We prove that the universal enveloping algebra of a Poisson-Ore extension is a length two iterated Ore extension of the original universal enveloping algebra.
Lü, Jiafeng +2 more
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Gröbner bases in universal enveloping algebras of Leibniz algebras
Journal of Symbolic Computation, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manuel Ladra
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