A Differential Calculus on Z3-Graded Quantum Superspace ℝq(2|1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\mathbb R}_{q}(2|1)$\end{document}

被引：0

作者：

Salih Celik

机构：

[1] Yildiz Technical University,Department of Mathematics

来源：

Algebras and Representation Theory | 2016年 / 19卷 / 3期

关键词：

Z; -graded quantum (2+1)-superspace; Z; -graded Hopf algebra; Z; -graded Lie superalgebra; Dual Hopf algebra; Z; -graded quantum supergroup; 17B37; 81R60;

D O I：

10.1007/s10468-016-9596-5

中图分类号：

学科分类号：

摘要：

We introduce a Z3-graded quantum (2+1)-superspace and define Z3-graded Hopf algebra structure on algebra of functions on the Z3-graded quantum superspace. We construct a differential calculus on the Z3-graded quantum superspace, and obtain the corresponding Z3-graded Lie superalgebra. We also find a new Z3-graded quantum supergroup which is a symmetry group of this calculus.

引用

页码：713 / 730

页数：17

共 5 条

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