"Through the Gates of the Silver Key" is a short story co-written by H. P. Lovecraft and E. Hoffmann Price between October 1932 and April 1933. A sequel to Lovecraft's "The Silver Key", and part of a sequence of stories focusing on Randolph Carter it was first published in the July 1934 issue of Weird Tales.
The story has its origins in Price's enthusiasm for an earlier Lovecraft tale. "One of my favorite HPL stories was, and still is, 'The Silver Key'," Price wrote in a 1944 memoir. "In telling him of the pleasure I had had in rereading it, I suggested a sequel to account for [protagonist] Randolph Carter's doings after his disappearance."[1] After convincing an apparently reluctant Lovecraft to agree to collaborate on such a sequel, Price wrote a 6,000-word draft in August 1932 in April 1933, Lovecraft produced a 14,000-word version that left unchanged, by Price's estimate, "fewer than fifty of my original words," though An H. P. Lovecraft Encyclopedia reports that Lovecraft "kept as many of Price's conceptions as possible, as well as some of his language." Thus many of the central ideas of the story like 'Umr at-Tawil, the talk of mathematical planes and multiple facets of Randolph Carter throughout Time and Space come from Price, who was well read in neoplatonic thought, theosophy and the occult. Even the quote from the Necronomicon is mainly by Price in outline though put in more Lovecraftian language The sub-plot about Yaddith was entirely Lovecraft's idea however.
In any case, Price was pleased with the result, writing that Lovecraft "was right of course in discarding all but the basic outline. I could only marvel that he had made so much of my inadequate and bungling start." The story appeared under both authors' bylines in the July 1934 issue of Weird Tales Price's draft was published as "The Lord of Illusion" in Crypt of Cthulhu No. 10 in 1982.