Orthogonal Group Matrices of Hyperoctahedral Groups
- 1 July 1966
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 27 (2) , 585-590
- https://doi.org/10.1017/s0027763000026404
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.Keywords
This publication has 1 reference indexed in Scilit:
- The Hook Graphs of the Symmetric GroupCanadian Journal of Mathematics, 1954