q-Epsilon tensor for quantum and braided spaces

Shahn Majid

doi:10.1063/1.531098

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arXiv · hep-th/9406157

q-Epsilon tensor for quantum and braided spaces

Shahn Majid

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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 $\widetilde{SO_q(4)}$ or $\widetilde{SO_q(1,3)}$. The Hodge $*$ operator and differentials are also constructed in this approach.

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Shahn Majid. 1994-07-19. q-Epsilon tensor for quantum and braided spaces. https://doi.org/10.1063/1.531098

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