According to the general philosophy outlined in Sect. 1.3, analytic geometry deals with those properties of vectors and matrices which are invariant with respect to some group of linear transformations. Applying this program to projective geometry, one is led in a natural way to the study of the bracket algebra.
- Polynomial Ring
- Fundamental Theorem
- Projective Geometry
- Binary Form
- Hilbert Series
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© 2008 Springer-Verlag/Wien
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(2008). Bracket algebra and projective geometry. In: Algorithms in Invariant Theory. Texts and Monographs in Symbolic Computation. Springer, Vienna. https://doi.org/10.1007/978-3-211-77417-5_3
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-77416-8
Online ISBN: 978-3-211-77417-5