Multiplier Hopf coquasigroups with faithful integrals

Tao Yang

Multiplier Hopf coquasigroups with faithful integrals

Rings and Algebras 2020-08-24 v1

Authors: Tao Yang

Abstract

Let $A$ be a multiplier Hopf coquasigroup. If the faithful integrals exist, then they are unique up to scalar. Furthermore, if $A$ is of discrete type, then its integral duality $\widehat{A}$ is a Hopf quasigroup, and the biduality $\widehat{\widehat{A}}$ is isomorphic to the original $A$ as multiplier Hopf coquasigroups. This biduality theorem also holds for a class of Hopf quasigroups with faithful integrals.

Keywords

multiplier hopf coquasigroup faithful integral discrete type integral duality hopf quasigroup biduality theorem

Cite

@article{arxiv.2008.09525,
  title  = {Multiplier Hopf coquasigroups with faithful integrals},
  author = {Tao Yang},
  journal= {arXiv preprint arXiv:2008.09525},
  year   = {2020}
}

Comments

17 pages. arXiv admin note: substantial text overlap with arXiv:2008.07199

Multiplier Hopf coquasigroups with faithful integrals

Abstract

Keywords

Cite

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