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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
. 1994 Dec 20;91(26):13062–13066. doi: 10.1073/pnas.91.26.13062

Plethystic algebras and vector symmetric functions.

G C Rota 1, J A Stein 1
PMCID: PMC45581  PMID: 11607504

Abstract

An isomorphism is established between the plethystic Hopf algebra Pleth(Super[L]) and the algebra of vector symmetric functions. The Hall inner product of symmetric function theory is extended to the Hopf algebra Pleth(Super[L]).

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Selected References

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

  1. Rota G. C., Stein J. A. Plethystic Hopf algebras. Proc Natl Acad Sci U S A. 1994 Dec 20;91(26):13057–13061. doi: 10.1073/pnas.91.26.13057. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Rota G. C., Stein J. A. Schur maps, Young tableaux, and supersymmetric algebra. Proc Natl Acad Sci U S A. 1990 Dec 1;87(23):9250–9254. doi: 10.1073/pnas.87.23.9250. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Rota G. C., Stein J. A. Supersymmetric Hilbert space. Proc Natl Acad Sci U S A. 1990 Jan;87(2):653–657. doi: 10.1073/pnas.87.2.653. [DOI] [PMC free article] [PubMed] [Google Scholar]

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