Abstract
We discuss a method to construct a De Rham complex (differential algebra) of Poincar'e-Birkhoff-Witt-type on the universal enveloping algebra of a Lie algebra $g$. We determine the cases in which this gives rise to a differential Hopf algebra that naturally extends the Hopf algebra structure of $U(g)$. The construction of such differential structures is interpreted in terms of colour Lie superalgebras.
| Original language | English |
|---|---|
| Place of Publication | Amsterdam |
| Publisher | C.W.I. |
| Number of pages | 8 |
| Publication status | Published - 1995 |
Publication series
| Name | Report / Department of Algebra, Analysis and Geometry |
|---|---|
| Publisher | CWI |
| No. | AM-R9515 |
Keywords
- METIS-141351
- IR-102315
Fingerprint Dive into the research topics of 'Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra'. Together they form a unique fingerprint.
Cite this
van den Hijligenberg, N. W., van den Hijligenberg, N. W., & Martini, R. (1995). Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra. (Report / Department of Algebra, Analysis and Geometry; No. AM-R9515). Amsterdam: C.W.I.