Abstract
The hyperoctahedral group Gn of order 2nn! is generated by permutations and sign changes applied to n digits, d = 1, 2,…, n. The 2n sign changes generate a normal subgroup ∑n whose factor group Gn/∑n is isomorphic with the symmetric group Sn of order n!. To each irreducible orthogonal representation ‹X; μ› of Gn corresponds an ordered pair of partitions [λ] of l and [μ] of m, where l+m = n.
Publisher
Cambridge University Press (CUP)
Reference4 articles.
1. The Constructive Reduction of Finite Group Representations;Frame;Proc. of Symposia in Pure Math. (1960 Institute on Finite Groups)
2. The Irreducible Representations of a Group and its Fundamental Regions;Ferns;Trans. Roy. Soc. Can., Ser 3, Sec. Ill,1934
3. The Hook Graphs of the Symmetric Group
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献