6533b82dfe1ef96bd12918a5

RESEARCH PRODUCT

A spinorial decomposition of gl_4(R)

Giovanni Falcone

subject

Lie groups spin group quaternions.Settore MAT/03 - Geometria

description

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.

http://hdl.handle.net/10447/60454