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arXiv · 1812.03346

A Frobenius-Schreier-Sims Algorithm to tensor decompose algebras

Ian Holm Kessler·Henry Kvinge·James B. Wilson
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Abstract

We introduce a decomposition of associative algebras into a tensor product of cyclic modules. This produces a means to encode a basis with logarithmic information and thus extends the reach of calculation with large algebras. Our technique is an analogue to the Schreier-Sims algorithm for permutation groups and is a by-product of Frobenius reciprocity.

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BibTeXRIS

Ian Holm Kessler, Henry Kvinge, James B. Wilson. 2018-12-08. A Frobenius-Schreier-Sims Algorithm to tensor decompose algebras. https://arxiv.org/abs/1812.03346

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