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Mar 6, 2014 at 15:06 comment added Geordie Williamson It is a result of Billey and Warrington that "321 hexagon avoiding" permutations in the symmetric group admit small resolutions. See: Billey and Warrington, Kazhdan-Lusztig Polynomials for 321-hexagon-avoiding permutations, J. of Algebraic Combinatorics, v. 13 (2001), no. 2, 111--136.
Sep 5, 2012 at 8:55 vote accept Jan Weidner
Sep 4, 2012 at 2:01 answer added Alexander Woo timeline score: 8
Sep 3, 2012 at 15:34 comment added Chuck Hague The book "Singular Loci of Schubert Varieties" by Billey and Lakshmibai has some results about small resolutions (cf in particular section 9.1); you might want to take a look there.
Sep 3, 2012 at 14:21 comment added Jim Humphreys @Jan: This is outside my range of knowledge, but I wonder what searches you have tried? For example, beyond Zelevinsky's 1983 paper, MathSciNet turns up quickly five others which may be relevant to your question: B.F.Jones (2010), N. Perrin (2007), J. van Hamel (2003), P.Sankaran and P. Parameswaran (1994, 1995). At least some of these must be on arXiv. There has certainly been some related study though it might not fit your question exactly.
Sep 3, 2012 at 9:51 history asked Jan Weidner CC BY-SA 3.0