Representations of skew polynomial algebras

Jøndrup, Søren

doi:10.1090/S0002-9939-99-05148-5

Representations of skew polynomial algebras
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Proc. Amer. Math. Soc. 128 (2000), 1301-1305 Request permission

Abstract:

C. De Concini and C. Procesi have proved that in many cases the degree of a skew polynomial algebra is the same as the degree of the corresponding quasi polynomial algebra. We prove a slightly more general result. In fact we show that in case the skew polynomial algebra is a P.I. algebra, then its degree is the degree of the quasi polynomial algebra. Our argument is then applied to determine the degree of some algebras given by generators and relations.

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