# Moduli spaces of low dimensional real Lie algebras

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Let R be an integral domain and A a symmetric cellular algebra over R with a cellular basis {CSTÎ³ S,T âˆ£ Î³ Ïµ, S, T Ïµ M(Î»;)}. We construct an ideal L(A) of the centre of A and prove that L(A) contains the socalled Higman ideal. When R is a field, we prove that the dimension of...

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This paper is dealed with a special local ring A and modules over A. Some properties of modules, that are constructed over the real plural algebra, are investigated. Moreover a module is constructed over the linear algebra of matrix Mmm(R) and one of its basis is found.