2 - Geometric Transformations of Grassmannians
Published online by Cambridge University Press: 06 January 2020
Summary
The chapter provides some geometrical characterizations of semilinear isomorphisms between vector spaces of an arbitrary (not necessarily finite) dimension: a modern version of the Fundamental Theorem of Projective Geometry, Chow’s theorem and its generalizations, apartment preserving transformations of Grassmannians. These results are useful tools for ourinvestigation of preserver problems related to quantum mechanics.
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- Wigner-Type Theorems for Hilbert Grassmannians , pp. 22 - 52Publisher: Cambridge University PressPrint publication year: 2020