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Reality-based algebras with a two-dimensional representation.
- Source :
-
Linear Algebra & its Applications . Apr2020, Vol. 590, p97-123. 27p. - Publication Year :
- 2020
-
Abstract
- It is shown that a two-dimensional irreducible representation of a reality-based algebra with a standard degree map is determined by the other irreducible representations of the algebra and the action of its given anti-automorphism on the distinguished basis. This generalizes known results for algebras of dimensions 5, 6, 7, and 8. Explicit conclusions equivalent to those for dimensions 5 and 6 are recovered here by specializing the procedure of proof of the main theorem. [ABSTRACT FROM AUTHOR]
- Subjects :
- *REPRESENTATIONS of algebras
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 590
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 141637317
- Full Text :
- https://doi.org/10.1016/j.laa.2019.12.034