GROBNER-SHIRSHOV BASES FOR IRREDUCIBLE sp4-MODULES

Title & Authors
GROBNER-SHIRSHOV BASES FOR IRREDUCIBLE sp4-MODULES
Lee, Dong-Il;

Abstract
We give an explicit construction of Grobner-Shirshov pairs and monomial bases for finite-dimensional irreducible representations of the simple Lie algebra $\small{sp_4}$. 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;
Language
English
Cited by
1.
Gröbner-Shirshov Bases for Exceptional Lie Superalgebras, Algebra Colloquium, 2015, 22, 01, 1
2.
Standard monomials for the Weyl group F4, Journal of Algebra and Its Applications, 2016, 15, 08, 1650146
3.
Cyclotomic Hecke Algebras of G(r, p, n), Algebras and Representation Theory, 2010, 13, 6, 705
4.
MONOMIAL BASES FOR SOME IRREDUCIBLE 𝔤2-MODULES, Journal of Algebra and Its Applications, 2010, 09, 05, 705
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