Structure matrices of algebras
โ Scribed by Michael P Drazin
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 623 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
The paper investigates simple multilinear algebras, known as comtrans algebras, that are determined by Lie algebras and by pairs of matrices. The two classes of algebras obtained in this way separate, except for the vector triple product algebra. \(\quad 1993\) Academic Press, Inc.
A coherent algebra is F-primitive if each of its non-identity basis matrices is primitive in the sense of Frobenius. We investigate the relationship between the primitivity of a permutation group, the primitivity of its centralizer algebra, and F-primitivity. The results obtained are applied to give