Differential Calculi on Z(3)- Graded Grassmann Plane

Celik Salih; Celik Sultan A.

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Differential Calculi on Z(3)- Graded Grassmann Plane

机译：Z（3）差分计算 - 等级的Grassmann飞机

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摘要

Covariant differential calculi on the Z(3)-graded Grassmann plane are presented. Using the generators and their partial derivatives a Grassmann-Heisenberg algebra is constructed. An R-matrix which satisfies graded Yang-Baxter equation is obtained.

机译：介绍了Z（3）Z（3）分类平面上的协变差分计算。使用发电机及其部分衍生物构建了Grassmann-Heisenberg代数。获得满足渐变阳击刀方程的R矩阵。

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来源
《Advances in applied Clifford algebras》 |2017年第3期|共21页
作者
Celik Salih; Celik Sultan A.;
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作者单位

Yildiz Tech Univ Dept Math DAVUTPASA Esenler TR-34220 Istanbul Turkey;

Yildiz Tech Univ Dept Math DAVUTPASA Esenler TR-34220 Istanbul Turkey;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Z(3)-graded Grassmann algebra; Differential calculus; Grassmann-Heisenberg algebra.;

机译：Z（3） - 基于Grassmann代数;差分微积分;Grassmann-Heisenberg代数。;
入库时间 2022-08-20 00:34:43

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专利

1. Differential Calculi on Z(3)- Graded Grassmann Plane [J] . Celik Salih, Celik Sultan A. Advances in applied Clifford algebras . 2017,第3期

机译：Z（3）差分计算 - 等级的Grassmann飞机
2. Quantum orthogonal planes: [equation] and [equation] – bicovariant calculi and differential geometry on quantum Minkowski space [J] . P.?Aschieri, L.?Castellani, A.M.?Scarfone European physical journal . 1999,第1期

机译：量子正交平面：[等式]和[等式] –量子Minkowski空间上的双协变量计算和微分几何
3. Cartan calculus of z _3-graded differential calculus on the quantum plane [J] . ?zkan E.M. International journal of geometric methods in modern physics . 2012,第5期

机译：量子平面上z _3级微积分的Cartan微积分
4. Inertial-grade out-of-plane and in-plane differential resonant silicon accelerometers (DRXLs) [C] . Hyeon Cheol Kim, Seonho Seok, Ilwhan Kim, . 2005

机译：惯性级平面外和平面内差分谐振硅加速度计（DRXL）
5. Regularized functional calculi for pseudo-differential operators, integro-differential equations, and integrated semigroups. [D] . Lei, Yansong. 1997

机译：伪微分算子，积分微分方程和积分半群的正则化函数计算。
6. DIFFERENTIAL GEOMETRY OF GRASSMANN MANIFOLDS [O] . Yung-Chow Wong 1967

机译：格拉斯曼流形的微分几何
7. Differential-Graded Hopf Algebras and Quantum Group Differential Calculi [O] . Schauenburg Peter 1996

机译：微分级Hopf代数与量子群微分计算

Differential Calculi on Z(3)- Graded Grassmann Plane

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