Tilted irreducible representations of the permutation group
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Abstract
A fast algorithm to compute irreducible integer representations of the symmetric group is described. The representation is called tilted because the identity is not represented by a unit matrix, but a matrix β satisfying a reduced characteristic equation of the form (β - I)^k= 0. A distinctive feature of the approach is that the non-zero matrix elements are restricted to ±1. A so called natural representation is obtained by multiplying each representation matrix by β^(-1). Alternatively t...
Title of program: TMRP
Catalogue Id: ADBC_v1_0
Nature of problem
Irreducible integer representations of the permutation group are computed.
Versions of this program held in the CPC repository in Mendeley Data
ADBC_v1_0; TMRP; 10.1016/0010-4655(95)00009-5
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)
创建时间：
2019-11-11
