Séminaire Lotharingien de Combinatoire, B55b (2006), 6 pp.

Chak-On Chow

On Derangement Polynomials of Type B

Abstract. Wachs [Proc. Amer. Math. Soc. 106 (1989), 273-278] studied the q-enumeration of derangements in the symmetric group Sn by the major index and obtained a q-analogue of the classical derangement number. We consider in this work the q-enumeration of derangements in the hyperoctahedral group Bn by the flag major index and obtain a q-analogue of the type B derangement number.


Received: February 14, 2006. Accepted: March 24, 2006.

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