Linearly Recursive Sequences, Witt Algebras and Quantum Groups

Abstract

We discuss some topics related to quantum groups. See[D] for general background on quantum groups, and [S] for Hopf algebras. In section 1, we discuss Lie bialgebra structures on Witt and Virasoro algebras, and on their dual spaces of linearly recursive sequences. In section 2, we mention our quantum deformation of the Plücker relations on the flag manifold, and its structure as comodule algebra over the quantum general linear group.KeywordsQuantum GroupVirasoro AlgebraFlag ManifoldRecursive SequenceCoalgebra StructureThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.