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http://dx.doi.org/10.4134/JKMS.2008.45.3.711

GROBNER-SHIRSHOV BASES FOR IRREDUCIBLE sp4-MODULES  

Lee, Dong-Il (Department of Mathematical Sciences Seoul National University)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.3, 2008 , pp. 711-725 More about this Journal
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.
Keywords
Grobner-Shirshov pair; monomial basis; representation; simple Lie algebra; Grobner-Shirshov graph;
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Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 3
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