Proceedings of the Edinburgh Mathematical Society (Series 2)

Table of Contents - October 1996 - Volume 39, Issue 03  

Research Article

Invariants for automorphisms of certain iterated skew polynomial rings

David A. Jordana1 and Imogen E. Wellsa1*

a1 School of Mathematics and Statistics University of Sheffield The Hicks Building Sheffield S3 7RH, UK

Abstract

Rings of invariants are identified for some automorphisms θ of certain iterated skew polynomial rings R, including the enveloping algebra of sl2(k), the Weyl algebra A1 and their quantizations. We investigate how finite-dimensional simple R-modules split over the ring of invariants Rθ and how finite-dimensional simple Rθ-modules extend to R.

(Received June 06 1994)

Footnotes

* With the support of a University of Sheffield Postgraduate Research Scholarship