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Integral Dual of some infinite dimensional Hopf quasigroups

2020/08/17 by Tao Yang, Yang, Tao
Engineering · Mathematics · #16T05 #16T99 #FOS: Mathematics #Geometric and Algebraic Topology #Mathematics and Applications #Rings and Algebras (math.RA) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2008.07199

openalex publication_date 2020/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For an infinite dimensional Hopf quasigroup, if the faithful integral exists, then it is unique up to scalar. Base on the faithful integrals, we construct the integral dual of a class of infinite dimensional Hopf quasigroups, and show that the integral dual has a similar structure to Hopf coquasigroup, which is a regular multiplier Hopf coquasigroup with a faithful integral.

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