Publication Date

2020

Description

We produce a long exact sequence whose terms are unit groups of associative algebras that behave as inner automorphisms of a given tensor. Our sequence generalizes known sequences for associative and non-associative algebras. In a manner similar to those, our sequence facilitates inductive reasoning about, and calculation of the groups of symmetries of a tensor. The new insights these methods afford can be applied to problems ranging from understanding algebraic structures to distinguishing entangled states in particle physics.

Journal

Journal of Algebra

Volume

545

First Page

43

Last Page

63

Department

Mathematics

Comments

Author's Accepted Manuscript

© 2020 Peter A. Brooksbank, CC-BY-NC

First published in Journal of Algebra in 2020, published by the American Mathematical Society

Also available on arXiv.org https://arxiv.org/abs/1812.00275

Open Access

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