2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51482Due to the occurrence of large exceptional Lie groups in supergravity, calculations involving explicit Lie algebra and Lie group element manipulations easily become very complicated and hence also error-prone if done by hand. Research on the extremal structure of maximal gauged supergravity theories in various dimensions sparked the development of a library for efficient abstract multilinear algebra calculations involving sparse and non-sparse higher-rank tensors, which is presented here.10 pages; the package's homepage is http://www.cip.physik.uni-muenchen.de/~tf/lambdatensor/; to be published in "Forschung und wissenschaftliches Rechnen - Beitraege zum Heinz-Billing-Preis 2002"; replacement reflects the corresponding release of version 1.1, which is described briefly in an addendumHigh Energy Physics - TheoryMathematical SoftwareMathematical Physicstext