Results 31 to 40 of about 29,270 (226)
Poisson Algebra of Differential Forms [PDF]
International Journal of Modern Physics A, 1997 We give a natural definition of a Poisson differential algebra. Consistency conditions are formulated in geometrical terms. It is found that one can often locally put the Poisson structure on the differential calculus in a simple canonical form by a coordinate trans-formation.
Chu, Chong-Sun, Ho, Pei-Ming
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Five-brane current algebras in type II string theories
Journal of High Energy Physics, 2021 We study the current algebras of the NS5-branes, the Kaluza-Klein (KK) five-branes and the exotic 5 2 2 $$ {5}_2^2 $$ -branes in type IIA/IIB superstring theories. Their worldvolume theories are governed by the six-dimensional N $$ \mathcal{N} $$ = (2, 0)
Machiko Hatsuda +2 more
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Hodge decomposition of string topology
Forum of Mathematics, Sigma, 2021 Let X be a simply connected closed oriented manifold of rationally elliptic homotopy type. We prove that the string topology bracket on the $S^1$-equivariant homology $ {\overline {\text {H}}}_\ast ^{S^1}({\mathcal {L}} X,{\mathbb {Q}}) $ of the free ...
Yuri Berest +2 more
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On double Poisson structures on commutative algebras [PDF]
, 2016 Double Poisson structures (a la Van den Bergh) on commutative algebras are studied; the main result shows that there are no non-trivial such structures on polynomial algebras of Krull dimension greater than one.
Powell, Geoffrey
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Classification of Four-Dimensional Complex Poisson Algebras
AxiomsThis paper provides a complete classification of four-dimensional complex Poisson algebras, extending previous work on lower-dimensional cases. We develop a systematic approach that combines the classification of four-dimensional complex commutative ...
Hani Abdelwahab, José María Sánchez
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Universal enveloping algebras of Poisson Ore extensions
, 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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Poisson algebras associated to quasi-Hopf algebras
Advances in Mathematics, 2004 We define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by h-adic valuation conditions. We show that any QHQUE algebra is twist-equivalent to an admissible one. We prove a related statement: any associator is twist-equivalent to a Lie associator.
Enriquez, Benjamin, Halbout, Gilles
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, 2015 Jacobi/Poisson algebras are algebraic counterparts of Jacobi/Poisson manifolds. We introduce representations of a Jacobi algebra $A$ and Frobenius Jacobi algebras as symmetric objects in the category.
Agore, A. L., Militaru, G.
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Transactions of the American Mathematical Society, 2008 Many misprints and inaccuracies (found by the referee) were ...
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