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Author(s): Hernandez, A
Kadison, L
Samuel A Lopes
Title: A quantum subgroup depth
Issue Date: 2017
Abstract: The Green ring of the half quantum group is computed in [9]. The tensor product formulas between indecomposables may be used for a generalized subgroup depth computation in the setting of quantum groups-to compute the depth of the Hopf subalgebra H in its Drinfeld double D(H). In this paper the Hopf subalgebra quotient module Q (a generalization of the permutation module of cosets for a group extension) is computed and, as H-modules, Q and its second tensor power are decomposed into a direct sum of indecomposables. We note that the least power n, referred to as depth, for which has the same indecomposable constituents as is , since contains all H-module indecomposables, which determines the minimum even depth .
Document Type: Artigo em Revista Científica Internacional
Rights: openAccess
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

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