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Block Bases

  • H. E. A. Eddy CampbellEmail author
  • David L. Wehlau
Chapter
  • 1.1k Downloads
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 139)

Abstract

The ideal I of \(\mathbb{K}[V]\) generated by the homogeneous invariants of positive degree, \(I= \mathbb{K}[V]^{G}_{+}\cdot\mathbb{K}[V]\), is called the Hilbert ideal. We have already seen one use of the Hilbert ideal in the proof of Theorem 3.5.1. Not surprisingly, the quotient algebra formed with respect to this ideal is also very useful to consider.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Sir Howard Douglas Hall, Dept. MathematicsUniversity of New BrunswickFrederictonCanada
  2. 2.Dept. Mathematics & Computer ScienceRoyal Military College of CanadaKingstonCanada

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