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

Thomas Fischbacher

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arXiv · hep-th/0208218

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

Thomas Fischbacher

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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.

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Thomas Fischbacher. 2003-03-26. Introducing LambdaTensor1.0 - A package for explicit symbolic and numeric Lie algebra and Lie group calculations. https://arxiv.org/abs/hep-th/0208218

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