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 language | English (US) |
|---|---|
| Pages (from-to) | 389-416 |
| Number of pages | 28 |
| Journal | Communications in Algebra |
| Volume | 42 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2014 |
Keywords
- Bicharacters
- Hopf algebras
- Normal ordered products
- Quadratic differential operators
ASJC Scopus subject areas
- Algebra and Number Theory