On the seminormal bases and dual seminormal bases of the cyclotomic Hecke algebras of type G(ℓ,1,n)

@article{Hu2022OnTS,
  title={On the seminormal bases and dual seminormal bases of the cyclotomic Hecke algebras of type G(ℓ,1,n)},
  author={Jun Hu and Shixuan Wang},
  journal={Journal of Algebra},
  year={2022}
}

Trace forms on the cyclotomic Hecke algebras and cocenters of the cyclotomic Schur algebras

Proof of the Center Conjectures for the cyclotomic Hecke and KLR algebras of type $A$

. The center conjectures for the cyclotomic Hecke algebra H Λ n,K of type G ( r, 1 ,n ) assert that (1) the dimension of the center Z ( H Λ n,K ) is independent of the characteristic of the ground

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  • Jun HuA. Mathas
  • Mathematics
    Transactions of the American Mathematical Society
  • 2018
Gordon James proved that the socle of a Weyl module of a classical Schur algebra is a sum of simple modules labelled by p p -restricted partitions. We prove an analogue of this result in the