Some Examples of Bicrossed Products with the Rapid Decay Property

IF 0.5 4区数学 Q3 MATHEMATICS

Algebras and Representation Theory Pub Date : 2024-12-30 DOI:10.1007/s10468-024-10308-3

Hua Wang

引用次数: 0

Abstract

We consider bicrossed products obtained by twisting compact semi-direct products by a suitable finite subgroup. We give a practical criterion for the rapid decay property and polynomial growth of the dual of such bicrossed products under a mild restriction. Using this theory, we construct concrete new examples of discrete quantum groups possessing the rapid decay property but not growing polynomially.

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来源期刊

Algebras and Representation Theory 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.