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Representations of simple anti-Jordan triple systems of matrices.
- Source :
-
Journal of Algebra & Its Applications . May2017, Vol. 16 Issue 5, p-1. 28p. - Publication Year :
- 2017
-
Abstract
- We show that the universal associative envelope of the simple anti-Jordan triple system of all ( is even, ) matrices over an algebraically closed field of characteristic 0 is finite-dimensional. The monomial basis and the center of the universal envelope are determined. The explicit decomposition of the universal envelope into matrix algebras is given. The classification of finite-dimensional irreducible representations of an anti-Jordan triple system is obtained. The semi-simplicity of the universal envelope is shown. We also show that the universal associative envelope of the simple polarized anti-Jordan triple system of matrices is infinite-dimensional. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 16
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 122420775
- Full Text :
- https://doi.org/10.1142/S0219498817500931