Polynomial Bounds for Rings of Invariants

نویسنده

  • HARM DERKSEN
چکیده

Hilbert proved that invariant rings are finitely generated for linearly reductive groups acting rationally on a finite dimensional vector space. Popov gave an explicit upper bound for the smallest integer d such that the invariants of degree ≤ d generate the invariant ring. This bound has factorial growth. In this paper we will give a bound which depends only polynomially on the input data.

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تاریخ انتشار 2001