Euclidean Clifford algebra

  title={Euclidean Clifford algebra},
  author={V. V. Fernandez and A. Moya and W. A. Rodrigues},
  journal={Advances in Applied Clifford Algebras},
  • V. V. Fernandez, A. Moya, W. A. Rodrigues
  • Published 2001
  • Mathematics, Physics
  • Advances in Applied Clifford Algebras
  • LetV be ann-dimensional real vector space. In this paper we introduce the concept ofeuclidean Clifford algebraCℓ (V, GE) for a given euclidean structure onV , i.e., a pair (V, GE) where GE is an euclidean metric forV (also called an euclidean scalar product). Our construction ofCℓ(V, GE) has been designed to produce a powerful computational tool. We start introducing the concept ofmultivectors overV. These objects are elements of a linear space over the real field, denoted by ΛV. We introduce… CONTINUE READING
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