Consider V a vector space and the symmetric algebra $S(V^*)$ is it possible to define the polynomial on $V$, $R[V]$ canonically ? I.e. without a use of base ? And show this is isomorphic to the symmetric algebra ?
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closed as no longer relevant by Bruce Westbury, Theo JohnsonFreyd, Ben Webster♦ Jun 8 '11 at 22:55This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center. If this question can be reworded to fit the rules in the help center, please edit the question. 

