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 An involution on the shifted rim hook tableaux Commun. Korean Math. Soc. 2002 Vol. 17, No. 3, 551-563 Printed September 1, 2002 Jaejin Lee Hallym University Abstract : We construct a sign reversing involution on the shifted rim hook tableaux with some conditions. Using the Stembridge's combinatorial interpretation for Morris' rule, this involution give a combinatorial proof of the orthogonality of the first kind for the spin characters of $\tilde S_n$. Keywords : shifted rim hook tableaux, sign reversing involution MSC numbers : Primary 05A19 Downloads: Full-text PDF