Abstract
The last chapter demonstrated that determinants (and in particular multihomogeneous bracket polynomials) are of fundamental importance in expressing projectively invariant properties. In this chapter we will alter our point of view. What if our “first-class citizens” were not the points of a projective plane but the values of determinants generated by them? We will see that with the use of Grassmann-Plücker relations we will be able to recover a projective configuration from its values of determinants.
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© 2011 Springer-Verlag Berlin Heidelberg
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Richter-Gebert, J. (2011). More on Bracket Algebra. In: Perspectives on Projective Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17286-1_7
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DOI: https://doi.org/10.1007/978-3-642-17286-1_7
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17285-4
Online ISBN: 978-3-642-17286-1
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