How Should I Respond to LinkedIn Job Posting?

Dear Experts, I just responded to a job posting on one of the Linkedin discussion groups. The posting said to send your response to the company HR e-mail address which I did. However, I was wondering if I should send a follow-up reply through the posting on Linkedin directly to the HR manager. Something to the effect of saw your post, very interested, sending my particulars through e-mail as requested and thanks for the opportunity. Should I do this or will this taint the HR manager against me? Our Twitter Advice Project (T.A.P.) is no longer an active campaign. To find an answer to the above question, please use the "Search" box in the right-hand column of this website.