• 제목/요약/키워드: Grobner-Shirshov pair

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GROBNER-SHIRSHOV BASES FOR IRREDUCIBLE sp4-MODULES

  • Lee, Dong-Il
    • 대한수학회지
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    • 제45권3호
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    • pp.711-725
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    • 2008
  • We give an explicit construction of Grobner-Shirshov pairs and monomial bases for finite-dimensional irreducible representations of the simple Lie algebra $sp_4$. We also identify the monomial basis consisting of the reduced monomials with a set of semistandard tableaux of a given shape, on which we give a colored oriented graph structure.