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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1986 Feb;83(4):844–847. doi: 10.1073/pnas.83.4.844

Symbolic method in invariant theory

Gian-Carlo Rota a, Joel A Stein b
PMCID: PMC322966  PMID: 16593657

Abstract

A symbolic method based on an extension of the straightening algorithm is developed for the representation of joint invariants of symmetric and skew-symmetric tensors. For skew-symmetric tensors, the method holds over infinite fields of arbitrary characteristic.

Keywords: Young symmetrizers, straightening algorithms, skew-symmetric tensors, standard bases, superalgebras

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