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We show that the vertex algebra W{1+ \infty} with central charge -1 isisomorphic to a tensor product of the simple W_3 algebra with central charge -2and a Heisenberg vertex algebra generated by a free bosonic field. We constructa family of irreducible modules of the W_3 algebra with central charge -2 interms of free fields and calculate the full character formulas of these moduleswith respect to the full Cartan subalgebra of the W_3 algebra.Comment: Latex, 23 page

$\W\/$ Algebra, $\Wth$ Algebra, and Friedan-Martinec-Shenker Bosonization