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GIOVANNI FALCONE

A spinorial decomposition of gl_4(R)

  • Authors: Falcone, G
  • Publication year: 2010
  • Type: Capitolo o Saggio (Capitolo o saggio)
  • Key words: Lie groups, spin group, quaternions.
  • OA Link: http://hdl.handle.net/10447/60454

Abstract

We determine six invariant subspaces of the 16-dimensional space gl_4(R) under the conjugation by any element in Spin_3(R). Four of them add up to the 10-dimensional space of symmetric matrices and the other two add up to the 6-dimensional space of skew-symmetric matrices.