Noncommutative matrix Jordan algebras
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- by Robert B. Brown and Nora C. Hopkins PDF
- Trans. Amer. Math. Soc. 333 (1992), 137-155 Request permission
Abstract:
We consider noncommutative degree two Jordan algebras $\mathcal {J}$ of two by two matrices whose off diagonal entries are from an anticommutative algebra $\mathcal {S}$ . We give generators and relations for the automorphism group of $\mathcal {J}$ and determine the derivation algebra Der $\mathcal {J}$ in terms of mappings on $\mathcal {S}$ . We also give an explicit construction of all $\mathcal {S}$ for which Der $\mathcal {J}$ does not kill the diagonal idempotents and give conditions for nonisomorphic $\mathcal {S}$ ’s to give isomorphic $\mathcal {J}$ ’s.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 333 (1992), 137-155
- MSC: Primary 17A15; Secondary 17A36, 17B60
- DOI: https://doi.org/10.1090/S0002-9947-1992-1068925-4
- MathSciNet review: 1068925