Apartments preserving transformations of Grassmannians of infinite-dimensional vector spaces

  title={Apartments preserving transformations of Grassmannians of infinite-dimensional vector spaces},
  author={Mark Pankov},
  journal={Linear Algebra and its Applications},
  • M. Pankov
  • Published 11 January 2017
  • Mathematics
  • Linear Algebra and its Applications
1 Citations

Preserver problems for the logics associated to Hilbert spaces and related Grassmannians

We consider the standard quantum logic ${\mathcal L}(H)$ associated to a complex Hilbert space $H$, i.e. the lattice of closed subspaces of $H$ together with the orthogonal complementation. The



On bijections that preserve complementarity of subspaces

Base subsets of Grassmannians: Infinite-dimensional case

Top stars and isomorphisms of Grassmann graphs

We describe all possible isomorphisms between connected components of Grassmann graphs associated to vector spaces $$X$$X and $$Y$$Y, respectively. As an application, we characterize compementarity

Geometry of Matrices

Part 1 Linear algebra over division rings: matrices over division rings matrix representations of subspaces systems of linear equations. Part 2 Affine geometry and projective geometry: affine spaces

Buildings of Spherical Type and Finite BN-Pairs

These notes are a slightly revised and extended version of mim- graphed notes written on the occasion of a seminar on buildings and BN-pairs held at Oberwolfach in April 1968. Their main purpose is

Grassmannians of Classical Buildings

  • M. Pankov
  • Mathematics
    Algebra and Discrete Mathematics
  • 2010
Linear Algebra and Projective Geometry Buildings and Grassmannians Classical Grassmannians Polar and Half-Spin Grassmannians.

On the Geometry of Algebraic Homogeneous Spaces