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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
. 1989 Apr;86(8):2521–2524. doi: 10.1073/pnas.86.8.2521

Standard basis in supersymplectic algebras

Gian-Carlo Rota 1,2, Joel A Stein 1,2
PMCID: PMC286948  PMID: 16594024

Abstract

An integral standard basis is given for products of Pfaffians containing positively and negatively signed variables. Applications to invariant theory are derived.

Keywords: Young symmetrizers, straightening algorithms, symplectic spaces, supersymmetric algebras, invariant theory

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Brini A., Palareti A., Teolis A. G. Gordan-Capelli series in superalgebras. Proc Natl Acad Sci U S A. 1988 Mar;85(5):1330–1333. doi: 10.1073/pnas.85.5.1330. [DOI] [PMC free article] [PubMed] [Google Scholar]
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