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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

14 votes

Semi-linear operators

Rob, I am doubtful that in such generality (with $\phi$ presumably meant to act on $E$ by some unspecified endomorphism) there is a reasonable answer. The reason why Jordan canonical form "works" eve …
BCnrd's user avatar
  • 7,108
15 votes

Is $Sym^n (V^*) \cong Sym^n (V)^\ast$ naturally in positive characteristic?

The dual to symmetric powers of a projective module of finite rank over any commutative ring is most elegantly expressed in terms of divided powers (thereby also "explaining" why over a field of nonze …
BCnrd's user avatar
  • 7,108