Tensor Isomorphism by conjugacy of Lie algebras

Autor:	Brooksbank, Peter A., Maglione, Joshua, Wilson, James B.
Rok vydání:	2020
Předmět:	Mathematics - Rings and Algebras 15A69 17B10 17-08
Zdroj:	J. Algebra 604 (2022), 790--807
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jalgebra.2022.04.014
Popis:	We introduce an algorithm to decide isomorphism between tensors. The algorithm uses the Lie algebra of derivations of a tensor to compress the space in which the search takes place to a so-called densor space. To make the method practicable we give a polynomial-time algorithm to solve a generalization of module isomorphism for a common class of Lie modules. As a consequence, we show that isomorphism testing is in polynomial time for tensors whose derivation algebras are classical Lie algebras and whose densor spaces are 1-dimensional. The method has been implemented in the Magma computer algebra system. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.04046 Zobrazit plný text záznamu View this record from Arxiv