Introducing LambdaTensor1.0 - A package for explicit symbolic and numeric Lie algebra and Lie group calculations
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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.
[1] Some stationary points of gauged N=16 D = 3 supergravity , 2002, hep-th/0201030.
[2] Low level representations for E(10) and E(11) , 2003, hep-th/0301017.
[3] Vacua of maximal gauged D = 3 supergravities , 2002, hep-th/0207206.