Computational construction of $$W$$-graphs of Hecke algebras $$H(q,n)$$ for $$n$$ up to $$15$$.(English)Zbl 0846.20016

The author constructs, using a computer, all $$W$$-graphs corresponding to irreducible representations of Hecke algebras $$H(q,n)$$ of type $$A_{n-1}$$ for $$n$$ up to 15 using a modification of a method proposed by A. Lascoux and M.-P. Schützenberger [Astérisque 87-88, 249-266 (1981; Zbl 0504.20007)].

MSC:

 20C30 Representations of finite symmetric groups 20C40 Computational methods (representations of groups) (MSC2010) 20C20 Modular representations and characters

Zbl 0504.20007
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References:

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