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On representation theory of partition algebras for complex reflection groups

On representation theory of partition algebras for complex reflection groups

This paper defines the partition algebra, denoted by 𝒯 k (r,p,n), for complex reflection group G(r,p,n) acting on k-fold tensor product (ℂ n ) ⊗k , where ℂ n is the reflection representation of G(r,p,n). A basis of the centralizer algebra of this action of G(r,p,n) was given by Tanabe …