Dejenere Clifford Cebirleri ve Temsilleri

Abstract

Bu çalışmada dejenere Clifford cebirlerinden dejenere olmayan Clifford cebirlerine bir gömme teoremi verdik. Dejenere olmayan Clifford Cebirlerinin temsillerini kullanarak dejenere Clifford cebirlerinin temsilleri için bir metod geliştirdik. Düşük boyutlar için bazı açık temsilleri verdik

Keywords

• Dejenere Clifford cebri, Clifford cebirlerinin temsili, kuadratik form, nilpotent ideal

Degenerate Clifford Algebras and Their Reperesentations

Abstract

In this study, we give an imbedding theorem for a degenerate Clifford algebra into nondegenerate one. By using the representations of non-degenerate Clifford algebra we develop a method for the representations of the degenerate Clifford algebras. We give some explicit constructions for lower dimensions

Keywords

• Degenerate Clifford algebra, representation of Clifford algebras, quadratic form, nilpotent ideal

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