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The simple answer to your question is that you can sue the website for "defamation of character." A reputation injuring false statement of fact made by another to third parties which causes damages is actionable defamation. If the website asserts that you are deceased, and you are not, and the statement damages your reputation, then you have a lawsuit.
You would need to hire a lawyer with experience in defamation actions, but assuming you do, I suspect that the website would correct the error and pay some damages just to make the claim go away, before the media gets hold of the info, and makes the website look like it's engaged in invention, rather than an accurate historical reference.
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