Results 1 to 10 of about 34,307 (171)
Universal Enveloping Commutative Rota–Baxter Algebras of Pre- and Post-Commutative Algebras [PDF]
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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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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Universal Enveloping Algebras of Poisson Superalgebras [PDF]
Algebras and Representation Theory, 2021 Abstract In this paper, we define and study the universal enveloping algebra of a Poisson superalgebra. In particular, a new PBW Theorem for Lie-Rinehart superalgebras is proved leading to a PBW Theorem for Poisson superalgebras, we show the universal enveloping algebra of a Poisson Hopf superalgebra (resp.
T. Lamkin
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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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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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Universal enveloping Poisson conformal algebras [PDF]
International Journal of Algebra and Computation, 2020 Lie conformal algebras are useful tools for studying vertex operator algebras and their representations. In this paper, we establish close relations between Poisson conformal algebras and representations of Lie conformal algebras. We also calculate explicitly Poisson conformal brackets on the associated graded conformal algebras of universal ...
P. Kolesnikov
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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 algebras of Poisson Hopf algebras [PDF]
Journal of Algebra, 2015 37 pages.
Lü, Jiafeng +2 more
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Universal enveloping algebras and universal derivations of Poisson algebras [PDF]
Journal of Algebra, 2012 20 ...
U. Umirbaev
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Crystalizing theq-analogue of universal enveloping algebras
Communications in Mathematical Physics, 1990 Let \(U_ q\) denote the quantized enveloping algebra over \({\mathbb{Q}}(q)\) associated to a symmetrizable Kac-Moody algebra \({\mathfrak g}\). For any integrable \(U_ q\)-module M the author defines a crystal base for M to be a pair (L,B) consisting of a lattice L of M and a \({\mathbb{Q}}\)-basis B of L/qL with certain nice properties.
M. Kashiwara
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