Braid Group Representations from Twisted Tensor Products of Algebras  

作　　者：Paul Gustafson Andrew Kimball Eric C.Rowell Qing Zhang 

机构地区：[1]Department of Electrical Engineering,Wright State University,Dayton,OH 45435,USA [2]Department of Mathematics,Texas A&M University,College Station,TX 77843-3368,USA

出　　处：《Peking Mathematical Journal》2020年第2期103-130,共28页北京数学杂志（英文）

摘　　要：We unify and generalize several approaches to constructing braid group representa-tions from finite groups,using iterated twisted tensor products.We provide some general characterizations and classification of these representations,focusing on the size of their images,which are typically finite groups.The well-studied Gaussian representations associated with metaplectic modular categories can be understood in this framework,and we give some new examples to illustrate their ubiquity.Our results suggest a relationship between the braiding on the G-gaugings of a pointed modular category C(A,Q)and that of C(A,Q)itself.

关 键 词：Braid group Yang-Baxter operator Twisted tensor product Group algebra Unitary representations Property F 

分 类 号：O15[理学—数学]