A proper 1-cocycle on a Podle\'{s} sphere

Masato Tanaka

A proper 1-cocycle on a Podle\'{s} sphere

Quantum Algebra 2023-12-05 v2 Representation Theory

Authors: Masato Tanaka

Abstract

We define $1$ -cocycles on coideal $*$ -subalgebras of CQG Hopf $\ast$ -algebras and consider the condition for $1$ -cocycles to extend to $1$ -cocycles on Drinfeld double coideals. We construct a $1$ -cocycle on a Podle\'{s} sphere, which extends to a $1$ -cocycle on $SL_q(2,\mathbb{R})$ and prove that it is proper.

Cite

@article{arxiv.2305.10048,
  title  = {A proper 1-cocycle on a Podle\'{s} sphere},
  author = {Masato Tanaka},
  journal= {arXiv preprint arXiv:2305.10048},
  year   = {2023}
}

Comments

20 pages I removed some typos. Any comments are welcome. My website: https://sites.google.com/view/masatotanaka-homepage/%E3%83%9B%E3%83%BC%E3%83%A0 My E-mails: tanakamasato.2121@gmail.com, masato.tanaka.c7@math.nagoya-u.ac.jp

A proper 1-cocycle on a Podle\'{s} sphere

Abstract

Cite

Comments

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