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At http://math.gannon.edu/rafal/cliff3/index.html you will find the most recent posting of 'CLIFFORD', a Maple package for computations with Clifford algebras Cl(B) of any bilinear form B. Since the package can handle algebras over vector spaces V of dimension <= 9, I have been asked to extend, if possible, my package to higher dimensions. It is well known that Clifford algebras Cl(B) are Z2-graded; it is also known that a graded tensor product Cl(Q1) &t Cl(Q2) &t ... &t Cl(Qn) of orthogonal Clifford algebras Cl(Q1), Cl(Q2),..., Cl(Qn), where Qi is a quadratic form, i=1..n, is Z2-isomorphic (that is, in the category of Z2-graded algebras) with a Clifford algebra Cl(Q1+Q2+...+Qn) where by Q1+Q2+...+Qn I mean an orthogonal sum of the quadratic forms. Thus, I have written an extension to 'CLIFFORD' called 'G[raded] T[ensor] P[product] that allows for certain computations in the graded tensor products of orthogonal Clifford algebras. This way one can compute in Z2-graded algebras which are Z2-isomorphic to Clifford algebras in higher dimensions. If you are interested, please visit my site and download the software. Rafal Ablamowicz Department of Mathematics and Physics Gannon University, Erie, PA 16541

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