# Two programs to perform certain symbolic calculations in the enveloping algebra of a lie algebra

Published: 1 January 1987| Version 1 | DOI: 10.17632/cdnk3gx464.1

Contributors:

H. De Meyer,

G. Vanden Berghe,

P. De Wilde

## Description

Title of program: ORDINVAR Catalogue Id: AATP_v1_0 Nature of problem To find explicit expressions (in standard order) for the invariants of a Lie algebra, i.e. for the polynomials in the generators which commute with all generators. An appropriate choice for the Lie algebra basis and for the order of the generators in standard form, leads to algebraic closed formulae for the eigenvalues of the generalized Casimir operators upon highest weight states of irreducible representations. Versions of this program held in the CPC repository in Mendeley Data AATP_v1_0; ORDINVAR; 10.1016/0010-4655(87)90027-0 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)