Schur–Weyl Reciprocity for Ariki–Koike Algebras
作者： Masahiro Sakamoto , Toshiaki Shoji
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摘要: Let g = glm1 ⊕ ··· glmr be a Levi subalgebra of glm, with m ∑ri 1mi, and V the natural representation quantum group Uq(g). We construct Ariki–Koike algebra Hn, r on n-fold tensor space V, commuting action Uq(g), prove Schur–Weyl reciprocity for actions Uq(g) it.
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