q-Epsilon tensor for quantum and braided spaces
Abstract
The machinery of braided geometry introduced previously is used now to construct the ε `totally antisymmetric tensor' on a general braided vector space determined by R-matrices. This includes natural q-Euclidean and q-Minkowski spaces. The formalism is completely covariant under the corresponding quantum group such as SOq(4) or SOq(1,3). The Hodge * operator and differentials are also constructed in this approach.
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