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Introducing LambdaTensor 1.0 - A package for explicit symbolic and numeric Lie algebra and Lie group calculations

MPS-Authors

Fischbacher,  Thomas
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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3105.pdf
(Preprint), 115KB

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Citation

Fischbacher, T. (2002). Introducing LambdaTensor 1.0 - A package for explicit symbolic and numeric Lie algebra and Lie group calculations.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-549D-0
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.