### Abstract

Original language | English |
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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 |
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Publisher | CWI |

No. | AM-R9515 |

### Fingerprint

### Keywords

- METIS-141351
- IR-102315

### Cite this

*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.

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*Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra*. Report / Department of Algebra, Analysis and Geometry, no. AM-R9515, C.W.I., Amsterdam.

**Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra.** / van den Hijligenberg, N.W.; van den Hijligenberg, N.W.; Martini, Ruud.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra

AU - van den Hijligenberg, N.W.

AU - van den Hijligenberg, N.W.

AU - Martini, Ruud

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

KW - METIS-141351

KW - IR-102315

M3 - Report

T3 - Report / Department of Algebra, Analysis and Geometry

BT - Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra

PB - C.W.I.

CY - Amsterdam

ER -