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
