A quantum subgroup depth

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Hernandez, A (Author) Other; Kadison, L (Author) Other; Samuel A Lopes (Author) FCUP

Journal

Title: Acta Mathematica Hungarica

Vol. 152

Pages: 166-185

ISSN: 0236-5294

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 2 Citations

Other information

Authenticus ID: 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 .

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20