# The space of Dunkl monogenics associated with Z23

## 摘要

The universal Bannai–Ito algebra BI is a unital associative algebra over C generated by X,Y,Z and the relations assert that each of {X,Y}−Z,{Y,Z}−X,{Z,X}−Y commutes with X,Y,Z. Let n≥0 denote an integer. Let Mn denote the space of Dunkl monogenics of degree n associated with the reflection group Z23. When the multiplicity function k is real-valued the space Mn supports a BI-module in terms of the symmetries of the spherical Dirac–Dunkl operator. Under the assumption that k is nonnegative, it was shown that dim⁡Mn=2(n+1) and Mn is isomorphic to a direct sum of two copies of an (n+1)-dimensional irreducible BI-module. In this paper, we generalize the aforementioned result on the BI-module Mn.

原文 ???core.languages.en_GB??? 115766 Nuclear Physics B 980 https://doi.org/10.1016/j.nuclphysb.2022.115766 已出版 - 7月 2022

## 指紋

• ### Q-多項式距離正則圖及加法雙仿射哈克代數(1/2)

Huang, H.

1/08/2131/07/22

研究計畫: Research