Abstract
We prove that for a specific class of Lie bialgebras, there exists a natural differential calculus. This class consists of the Lie bialgebras for which the dual Lie bialgebra is of triangular type. The differential calculus is explicitly constructed with the help of the $R$-matrix from the dual. The method is illustrated by several examples.
| Original language | English |
|---|---|
| Place of Publication | Amsterdam |
| Publisher | Stichting Mathematisch Centrum |
| Number of pages | 7 |
| Publication status | Published - 1995 |
Publication series
| Name | Report / Department of Algebra, Analysis and Geometry |
|---|---|
| Publisher | Stichting Mathematisch Centrum |
| No. | Report AM-R9519 |
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Keywords
- METIS-141350
- IR-102316
Cite this
van den Hijligenberg, N., van den Hijligenberg, N. W., & Martini, R. (1995). A natural differential calculus on Lie bialgebras with dual of triangular type. (Report / Department of Algebra, Analysis and Geometry; No. Report AM-R9519). Amsterdam: Stichting Mathematisch Centrum.