This is an announcement for the paper "The symmetric Radon-Nikod\'ym property for tensor norms" by Daniel Carando and Daniel Galicer. Abstract: We introduce the symmetric-Radon-Nikod\'ym property (sRN property) for finitely generated s-tensor norms $\beta$ of order $n$ and prove a Lewis type theorem for s-tensor norms with this property. As a consequence, if $\beta$ is a projective s-tensor norm with the sRN property, then for every Asplund space $E$, the canonical map $\widetilde{\otimes}_{ \beta }^{n,s} E' \rightarrow \Big(\widetilde{\otimes}_{ \beta' }^{n,s} E \Big)'$ is a metric surjection. This can be rephrased as the isometric isomorphism $\mathcal{Q}^{min}(E) = \mathcal{Q}(E)$ for certain polynomial ideal $\Q$. We also relate the sRN property of an s-tensor norm with the Asplund or Radon-Nikod\'{y}m properties of different tensor products. Similar results for full tensor products are also given. As an application, results concerning the ideal of $n$-homogeneous extendible polynomials are obtained, as well as a new proof of the well known isometric isomorphism between nuclear and integral polynomials on Asplund spaces. Archive classification: math.FA Mathematics Subject Classification: 47L22, 46M05, 46B22 Remarks: 17 pages Submitted from: dgalicer@dm.uba.ar The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1005.2683 or http://arXiv.org/abs/1005.2683