# Programs for symmetry adaptation coefficients for semisimple symmetry chains: the general case

## Description

Abstract The method of symmetry adaptation of wave functions with respect to any semisimple symmetry chain originating from a SU(l+1) algebra for completely symmetrical representations [N, 0, 0,...] of SU(l+1) was extended to the case of arbitrary representations [N_1 , N_2 ,...,N_(l+1)] of SU(l+1) with N_1 ≥N_2 ≥...≥N_(l+1)and N_1 + N_2 +... + N_(l+1)=N, recently. Programs covering this general case are presented in this contribution. Title of program: LIE_A0, LIE_A1, LIE_A2 Catalogue Id: ACHL_v1_0 Nature of problem 1. Calculation of orthonormal bases for irreducible unitary representations of the special unitary algebras (groups) SU(l+1) of any symmetry, and of orthonormal bases for direct products of such representations. <P> 2. Calculation of orthonormal bases of irreducible unitary representations of the Lie algebras L=SU(l'+1), SO(2l'), SO(2l'+1), Sp(2l'), l' <=l, and direct products of these algebras, considered as subalgebras of an algebra SU(l+1) or a direct product of SU(l+1)'s. The bases for the i ... Versions of this program held in the CPC repository in Mendeley Data ACHL_v1_0; LIE_A0, LIE_A1, LIE_A2; 10.1016/0010-4655(92)90200-I This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)