Abstract
The paper deals with the properties of the exterior algebra ℝ(Λn) related to the Euclidean structure on ℝ(Λn) induced by the scalar product in ℝ(Λn). A geometric interpretation of inner multiplication for simple p-vectors is given. An invariant form of the Cartan criterion for the simplicity of a p-vector is given. The Plucker model realizing the real Grassmann manifold as a submanifold of the Euclidean space ℝ(Λn), and an isometry of this submanifold onto the classical Grassmann manifold with SO(n)-invariant metric are described. A canonical decomposition of bivectors is given. Bibliography: 12 titles.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
