Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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GROBNER-SHIRSHOV BASES FOR IRREDUCIBLE sp4-MODULES

  • Lee, Dong-Il (Department of Mathematical Sciences Seoul National University)
  • Published : 2008.05.31
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Abstract

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.

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References

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