A quantum subgroup depth

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

Hernandez, A (Autor) Outra; Kadison, L (Autor) Outra; Samuel A Lopes (Autor) FCUP

Revista

Título: Acta Mathematica Hungarica

Vol. 152

Páginas: 166-185

ISSN: 0236-5294

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 2 Citações

Outras Informações

ID Authenticus: P-00M-SA5

DOI: 10.1007/s10474-017-0694-6

Abstract (EN): 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 .

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 20