Acknowledgment that notions and results from the authors’ work [Adv. Appl. Math. 46, No. 1-4, 109-124 (2011; Zbl 1227.05009)] are well-known (see, e.g., {[\it P. Diaconis}, Group representations in probability and statistics, IMS Lecture Notes-Monograph Series, 11. Hayward, CA: Institute of Mathematical Statistics. vi, 198 p. (1998; Zbl 0695.60012)], p. 128-129).