Exact sequences of inner automorphisms of tensors
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. (C) 2019 Elsevier Inc. All rights reserved.
545
SI
43-63
43-63
Academic Press Inc Elsevier Science