[期刊论文][Full-length article]

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The isotropic Grassmannian parametrizes isotropic subspaces of a vector space equipped with a quadratic form. In this paper, we show that any maximal isotropic Grassmannian in its Plücker embedding can be defined by pulling back the equations of G r iso ( 3 , 7 ) or G r iso ( 4 , 8 ) .

Exterior algebra ; Grassmann algebras ; Quadratic and bilinear forms; inner products ; Grassmannians ; Pluecker Relations