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Invariants for automorphisms of certain iterated skew polynomial rings

Published online by Cambridge University Press:  20 January 2009

David A. Jordan  and
Imogen E. Wells
David A. Jordan
Affiliation:
School of Mathematics and StatisticsUniversity of SheffieldThe Hicks Building SheffieldS3 7RH, UK
Imogen E. Wells
Affiliation:
School of Mathematics and StatisticsUniversity of SheffieldThe Hicks Building SheffieldS3 7RH, UK
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Abstract

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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 3 , October 1996 , pp. 461 - 472
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

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