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)].


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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