Representations of skew polynomial algebras
Author:
Søren Jøndrup
Journal:
Proc. Amer. Math. Soc. 128 (2000), 13011305
MSC (1991):
Primary 16S35; Secondary 16R20
Published electronically:
August 3, 1999
MathSciNet review:
1641638
Fulltext PDF Free Access
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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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Additional Information
Søren Jøndrup
Affiliation:
Mathematics Institute, Universitetsparken 5, DK 2100 Copenhagen Ø, Denmark
Email:
jondrup@math.ku.dk
DOI:
http://dx.doi.org/10.1090/S0002993999051485
PII:
S 00029939(99)051485
Received by editor(s):
March 10, 1998
Received by editor(s) in revised form:
June 29, 1998
Published electronically:
August 3, 1999
Communicated by:
Ken Goodearl
Article copyright:
© Copyright 2000 American Mathematical Society
