Quadratic Differential Operators, Bicharacters and • Products

Iana I. Anguelova, Maarten J. Bergvelt

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)389-416
Number of pages28
JournalCommunications in Algebra
Volume42
Issue number1
DOIs
StatePublished - Jan 1 2014

Keywords

  • Bicharacters
  • Hopf algebras
  • Normal ordered products
  • Quadratic differential operators

ASJC Scopus subject areas

  • Algebra and Number Theory

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