Tensors of symmetric and unitary groups

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1987 English Publisher:Canadian Science PublishingJournal:Canadian Journal of Physics, volume 65, pages 193-197 (issn: 0008-4204, eissn: 1208-6045,

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Authors: Mirman, R.;

doi: 10.1139/p87-030

Tensors of symmetric and unitary groups

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Abstract

A realization of unitary-group basis states by multinomials (tensors) that realize symmetric-group representation basis states requires that there be the proper set of numbers of these tensors and that unitary-group transformation properties be obtainable from their labels. That these requirements are met is shown here, allowing the actual construction of the unitary states and matrix elements.

Keywords

matrix elements, Applications of linear algebraic groups to the sciences, unitary-group basis states, labels

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