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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© 2011 Springer-Verlag Berlin Heidelberg
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Campbell, H.E.A.E., Wehlau, D.L. (2011). Block Bases. In: Modular Invariant Theory. Encyclopaedia of Mathematical Sciences, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17404-9_6
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DOI: https://doi.org/10.1007/978-3-642-17404-9_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17403-2
Online ISBN: 978-3-642-17404-9
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