Bialgebra actions, twists, and universal deformation formulas
A Giaquinto, JJ Zhang - Journal of Pure and Applied Algebra, 1998 - Elsevier
A Giaquinto, JJ Zhang
Journal of Pure and Applied Algebra, 1998•ElsevierWe use the concept of gauge transformations of quasi-Hopf algebras to study twists of
algebraic structures based on actions of a bialgebra and relate this to the theory of universal
deformation formulas. We establish new universal deformation formulas which are
associated to central extensions of Heisenberg Lie algebras. These formulas are
generalizations of the Moyal quantization formula.
algebraic structures based on actions of a bialgebra and relate this to the theory of universal
deformation formulas. We establish new universal deformation formulas which are
associated to central extensions of Heisenberg Lie algebras. These formulas are
generalizations of the Moyal quantization formula.
We use the concept of gauge transformations of quasi-Hopf algebras to study twists of algebraic structures based on actions of a bialgebra and relate this to the theory of universal deformation formulas. We establish new universal deformation formulas which are associated to central extensions of Heisenberg Lie algebras. These formulas are generalizations of the Moyal quantization formula.
Elsevier
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