Can I read Compatibility of quantization functors of Lie bialgebras with duality and doubling operations on EtoBox?

Compatibility of quantization functors of Lie bialgebras with duality and doubling operations by Enriquez, Benjamin; Geer, Nathan is a scholarly article available to read on EtoBox.

What is Compatibility of quantization functors of Lie bialgebras with duality and doubling operations about?

We study the behavior of the Etingof-Kazhdan quantization functors under the natural duality operations of Lie bialgebras and Hopf algebras. In particular, we prove that these functors are "compatible with duality", i.e., they commute with the operation of duality followed by replacing the coproduct by its opposite. We then show that any quantization functor with this property also commutes with the operation of taking doubles. As an application, we show that the Etingof-Kazhdan quantization of some affine Lie superalgebras coincide with their Drinfeld-Jimbo-type quantizations.

Author

Enriquez, Benjamin; Geer, Nathan

Published

2007

Language

EN