摘要
This paper proves that the restriction of a Specht module for a(degenerate or non-degenerate)cyclotomic Hecke algebra, or KLR(Khovanov-Lauda-Rouquier) algebra, of type A has a Specht filtration.
This paper proves that the restriction of a Specht module for a(degenerate or non-degenerate)cyclotomic Hecke algebra, or KLR(Khovanov-Lauda-Rouquier) algebra, of type A has a Specht filtration.
引文
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1)Professor Ariki disagrees that there is a gap in the original proof in[4].He says that the result can be easily deduced from[2,Theorem 13.21(2)]using the fact that the generator of the Specht module is a simultaneous eigenvector for the Jucys-Murphy elements.
2)Personal communication.See also[12].