Shephard–Todd–Chevalley Theorem for Skew Polynomial Rings
نویسندگان
چکیده
منابع مشابه
Shephard-todd-chevalley Theorem for Skew Polynomial Rings
We prove the following generalization of the classical ShephardTodd-Chevalley Theorem. Let G be a finite group of graded algebra automorphisms of a skew polynomial ring A := kpij [x1, · · · , xn]. Then the fixed subring A has finite global dimension if and only if G is generated by quasireflections. In this case the fixed subring A is isomorphic a skew polynomial ring with possibly different pi...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2009
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-008-9109-2