Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra
Copyright policy )Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra
We discuss a method to construct a De Rham complex (differential algebra) of Poincaré–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.
- University of Twente Netherlands
Universal enveloping algebras of Lie algebras, differential Hopf algebra, color Lie superalgebras, differential calculus, De Rham complex, Noncommutative differential geometry, Noncommutative topology, Universal enveloping (super)algebras, Hopf algebras (associative rings and algebras), de Rham theory in global analysis
Universal enveloping algebras of Lie algebras, differential Hopf algebra, color Lie superalgebras, differential calculus, De Rham complex, Noncommutative differential geometry, Noncommutative topology, Universal enveloping (super)algebras, Hopf algebras (associative rings and algebras), de Rham theory in global analysis
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