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answered Jun 8, 2011 at 21:28

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This has come up several times before:

Definition of the symmetric algebra in arbitrary characteristic for graded vector spaces

Is there a notation for the symmetric / antisymmetric subspaces of a tensor power that distinguishes them from the symmetric / exterior power?

Symmetric powers and duals of vector bundles in char p

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

answered Jun 8, 2011 at 21:28

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