JP Journal of Algebra, Number Theory and Applications
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Abstract: In
linear algebra, operator theory and linear system science the invariant
subspaces have a key role. An algebraic characterization ofthe families of invariant subspaces is further developed. In particular,
a necessary condition for a vector space to be A - and -invariant is proposed by using fundamental tools from exterior
and multi-linear algebra, and the Grassmann representative of the subspace.
Keywords and phrases: invariant subspaces, compound matrices, Grassmann representative.
