Não disponível

Our intention was to construct and study one Clifford algebra C_M, which has a fundamental importance to the determination of other Clifford al gebras. Moreover, it allows the stablishment of the relation between the Clifford algebra of vector space E, of a finite dimension, and the exterior algebra of that space: ΛE. The algebra C_M is a Clifford algebra of the space M = E ⊕ E⁸, which the quadratic form Q((x,x')) = <x, x'>. When we have studied the properties of this algebra, we have come to the conclusion that the quadratic space M (and the space E) over the field K, has an inner product. The orthogonal group G de C_M and the Clifford group de G are very important and have been described and analysed in Chapter IL. In Chapter III, we have construct one algebra on the vector space E with a quadratic form Q, induced from Q, and by analogy, we have construct one algebra on the vector space E^*, we have also stablished the relations among the algebras C_M, C_E e C_E^*. On Chapter IV, we have shown that the Clifford algebra of E can be obtained as a deformation of the exterior algebra *Lambda;E, based.on the works of J. Helmstetter and using the interior products. Finally, we have shown an analogy between the reasoning of Helmstetter and the results we have attained.