Introducing LambdaTensor1.0 - A package for explicit symbolic and numeric Lie algebra and Lie group calculations

Abstract

Due 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 addendum

References in corpus (1)

• Vacua of Maximal Gauged D=3 Supergravities

Cited by in corpus (6)

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• Numerical tools to validate stationary points of SO(8)-gauged N=8 D=4 supergravity
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• Mapping the vacuum structure of gauged maximal supergravities: an application of high-performance symbolic algebra
• Shimura- and Teichmueller curves