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 22:55
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