Abstract
For a commutative cocommutative Hopf algebra, we study the relationship between a certain linear map defined via a bicharacter, an exponential of a quadratic differential operator, and a • product obtained via twisting by a bicharacter. This new relationship between • products and exponentials of quadratic differential operators was inspired by studying the exponential of a quadratic differential operator introduced in [7] and used in the theory of twisted modules of lattice vertex algebras.
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