# Programs for symmetry adaption coefficients for semisimple symmetry chains: the completely symmetric representations

## Description

Abstract Programs for the calculation of various quantities for the completely symmetric representations of symmetry chains SU(l+1 {mapping} SU(l′+1), SU(l+1) {mapping} SO(2l′), SU(l+1) {mapping} SO(2l′+1), and SU(l+1) {mapping} Sp(2l′), (l′) ≤ l or symmetry chains of direct products of these, e.g. SU(l_1 +1) ⊗ SU(l_2 +1) ⊗ SU(l_3 +1) {mapping} SU(l′_1 +1) ⊗ SU(l′_2 +1), or longer symmetry chains, e.g. SU(l+1) {mapping} SU(l′+1) {mapping} SU(l″+1), are presented. Besides the initial state, the program... Title of program: LIE_S1,LIE_S2 Catalogue Id: ABTO_v1_0 Nature of problem 1. Calculation of orthonormal bases for the completely symmetric irreducible unitary representations [[N]] of the special unitary algebras (groups) SU(l+1), and of orthonormal bases for direct products of representations [[N1]] otimes [[N2]] otimes [[N3]]... of the algebras SU(l1+1) otimes SU(l2+1) otimes SU(l3+1)... . (N denotes the number of particles and [[N]] denotes the completely symmetric representations of the pair (SU(l+1), SN), SN being the symmetric group generated by N particles.) 2. ... Versions of this program held in the CPC repository in Mendeley Data ABTO_v1_0; LIE_S1,LIE_S2; 10.1016/0010-4655(90)90054-5 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)