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Data · dataset · 1987

PASCAL programs for identification of Lie algebras Part 3: LEVI decomposition and canonical basis

Listed in Teesside University Research Data Repository

Title of program: CANONIK Catalogue Id: AAXO_v1_0 Nature of problem Given a Lie algebra L with structure constants which are either integers or polynomials with integer coefficients, LEVI determines a Levi decomposition of L into its radical R(L) and its (semi-)simple part S(L).

Description

The program CANONIK uses the methods of all three programs SPLIT, LEVI and RADICAL in order to express L in a standard basis: L is decomposed as a direct sum, each component L' is Levi-decomposed, each S(L') is decomposed as a direct sum, the nilradical of each R(L') is calculated, and f ...

Versions of this program held in the CPC repository in Mendeley Data aaxo_v1_0; CANONIK; 10.1016/0010-4655(87)90007-5 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

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