Tensor isomorphism by conjugacy of Lie algebras

Authors

Peter A. BrooksbankFollow
Joshua Maglione, Colorado State University - Fort Collins
James B. Wilson, Colorado State University - Fort CollinsFollow

Publication Date

2002

Description

We introduce an isomorphism test for structures having a distributive type property, such as tensors, rings, and nilpotent groups. The test applies a universal construction to generalize several existing isomorphism tests, recovering these as special cases. Whereas earlier methods exploit associative algebras and their representations, the new approach is based on Lie algebras, leading to polynomial-time isomorphism tests for new families.

Journal

Journal of Algebra

Issue

604

First Page

790

Last Page

807

Department

Mathematics

Link to Published Version

https://www.sciencedirect.com/science/article/abs/pii/S0021869322001855?via%3Dihub

Recommended Citation

Brooksbank, Peter A.; Maglione, Joshua; and Wilson, James B.. "Tensor isomorphism by conjugacy of Lie algebras." (2002) : 790-807.