@book{60911fb0d7ae4f7b99bdecf46d72cc04,

title = "Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra",

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.",

keywords = "METIS-141351, IR-102315",

author = "{van den Hijligenberg}, N.W. and {van den Hijligenberg}, N.W. and Ruud Martini",

year = "1995",

language = "English",

series = "Report / Department of Algebra, Analysis and Geometry",

publisher = "C.W.I.",

number = "AM-R9515",

}