Exact sequences of inner automorphisms of tensors
| Autor: | Brooksbank, Peter A., Maglione, Joshua, Wilson, James B. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | J. Algebra, 2020, 545, 43--63 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jalgebra.2019.07.006 |
| Popis: | 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. Comment: 16 pages, 2 figures |
| Databáze: | arXiv |
| Externí odkaz: |
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