More on Bracket Algebra

Jürgen Richter-Gebert ()
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Jürgen Richter-Gebert: TU München, Zentrum Mathematik (M10) LS Geometrie

Chapter 7 in Perspectives on Projective Geometry, 2011, pp 109-123 from Springer

Abstract: 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.

Date: 2011
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DOI: 10.1007/978-3-642-17286-1_7

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