Group-theoretic Approach for Symbolic Tensor Manipulation: I. Free Indices

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dc.creatorPortugal, R.
dc.creatorSvaiter, B. F.
dc.date2001-07-31
dc.date.accessioned2026-07-07T04:28:35Z
dc.date.available2026-07-07T04:28:35Z
dc.descriptionWe describe how Computational Group Theory provides tools for manipulating tensors in explicit index notation. In special, we present an algorithm that puts tensors with free indices obeying permutation symmetries into the canonical form. The method is based on algorithms for determining the canonical coset representative of a subgroup of the symmetric group. The complexity of our algorithm is polynomial on the number of indices and is useful for implementating general purpose tensor packages on the computer algebra systems.
dc.description10 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0107031
dc.identifierhttp://arxiv.org/abs/math-ph/0107031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56840
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subject70G45 (Primary) 20B40, 53A45, 20B35, 53A35, 20B30, 53A15 (Secondary)
dc.titleGroup-theoretic Approach for Symbolic Tensor Manipulation: I. Free Indices
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