The Nichols algebra $\mathfrak{B}(V_{abe})$ and a class of combinatorial numbers

Yuxing Shi

The Nichols algebra $\mathfrak{B}(V_{abe})$ and a class of combinatorial numbers

Quantum Algebra 2021-03-12 v1

Authors: Yuxing Shi

Abstract

We investigate the Nichols algebra $\mathfrak{B}(V_{abe})$ which are from the Yetter-Drinfeld category of Suzuki algebras. The $4n$ and $n^2$ dimensional Nichols algebras, first appeared in \cite{Andruskiewitsch2018}, are obtained again via a different method. And the connection between the Nichols algebra $\mathfrak{B}(V_{abe})$ and a class of combinatorial numbers on the subgroups of symmetric groups is established.

Keywords

nichols algebra yetter-drinfeld category suzuki algebras combinatorial numbers symmetric groups

Cite

@article{arxiv.2103.06489,
  title  = {The Nichols algebra $\mathfrak{B}(V_{abe})$ and a class of combinatorial numbers},
  author = {Yuxing Shi},
  journal= {arXiv preprint arXiv:2103.06489},
  year   = {2021}
}

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