On Global Degree Bounds for Invariants
نویسندگان
چکیده
Let G be a linear algebraic group over a field K of characteristic 0. An integer m is called a global degree bound for G if for every linear representation V the invariant ring K[V ] is generated by invariants of degree at most m. We prove that if G has a global degree bound, then G must be finite. The converse is well known from Noether’s degree bound.
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تاریخ انتشار 2002