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作者单位:László Márki (1) Johan Meyer (2) Jen? Szigeti (3) Leon van Wyk (4)
1. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, 1364, Budapest, Pf. 127, Hungary 2. Department of Mathematics and Applied Mathematics, University of the Free State, PO Box 339, Bloemfontein, 9300, South Africa 3. Institute of Mathematics, University of Miskolc, 3515, Miskolc-Egyetemváros, Hungary 4. Department of Mathematical Sciences, Stellenbosch University, P/Bag X1 Matieland 7602, Stellenbosch, South Africa
刊物类别:Mathematics and Statistics
刊物主题:Mathematics Mathematics Algebra Group Theory and Generalizations Analysis Applications of Mathematics Mathematical and Computational Physics
出版者:Hebrew University Magnes Press
ISSN:1565-8511
文摘
We prove that the m-generated Grassmann algebra can be embedded into a 2 m?×2 m? matrix algebra over a factor of a commutative polynomial algebra in m indeterminates. Cayley-Hamilton and standard identities for n × n matrices over the m-generated Grassmann algebra are derived from this embedding. Other related embedding results are also presented.