A Frobenius-Schreier-Sims Algorithm to tensor decompose algebras
Rings and Algebras
2018-12-18 v2 Group Theory
Representation Theory
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.
Cite
@article{arxiv.1812.03346,
title = {A Frobenius-Schreier-Sims Algorithm to tensor decompose algebras},
author = {Ian Holm Kessler and Henry Kvinge and James B. Wilson},
journal= {arXiv preprint arXiv:1812.03346},
year = {2018}
}
Comments
15 pages, added additional acknowledgments