Hecke algebra representations within Clifford geometric algebras of multivectors

We introduce Clifford geometric algebras of multivectors which exhibit a bilinear form which is not necessarily symmetric. Looking at a subset of bi-vectors in , we prove that these elements provide a representation of the Hecke algebra if the bilinear form B is chosen appropriately. This shows that q -quantization can be generated by Clifford multivector objects which usually describe composite entities. This contrasts current approaches which give deformed versions of Clifford algebras by deforming the one-vector variables. Our example shows that it is not evident, from a mathematical point of view, that q -deformation is in any sense more elementary than the undeformed structure.