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Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra
1996
Journal of Mathematical Physics
Preserved Fulltext
We discuss a method to construct a De Rham complex (differential algebra) of Poincare-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 color Lie superalgebras.
doi:10.1063/1.531407
fatcat:hodayqdd3fhzpcijmk7lqxbsc4