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MR2375311 (2009j:17022) 17B68 (17B10 17B56)
Boe, Brian D.; Nakano, Daniel K.; Wiesner, Emilie Category $\scr O$ for the Virasoro algebra: cohomology and Koszulity. Pacific J. Math. 234 (2008), no. 1, 1–21.
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