偶数维复Clifford代数的分解

doi:10.13371/j.cnki.chin.q.j.m.2014.03.001

数学季刊 ›› 2014, Vol. 29 ›› Issue (3): 317-324.doi: 10.13371/j.cnki.chin.q.j.m.2014.03.001

• • 下一篇

偶数维复Clifford代数的分解

School of Mathematics and Statistics, Central South University

收稿日期:2013-09-05 出版日期:2014-09-30 发布日期:2020-11-30
作者简介:HE Fu-li(1981-), male, native of Hengyang, Hunan, Ph.D., engages in complex analysis and hyper-complex analysis.
基金资助:
Supported by the NNSF of China(11371375,1171375)； Supported by the Postdoctoral Science Foundation of Central South University；

Decomposition for Complex Clifford Algebra of Even Dimension

School of Mathematics and Statistics, Central South University

Received:2013-09-05 Online:2014-09-30 Published:2020-11-30
About author:HE Fu-li(1981-), male, native of Hengyang, Hunan, Ph.D., engages in complex analysis and hyper-complex analysis.
Supported by:
Supported by the NNSF of China(11371375,1171375)； Supported by the Postdoctoral Science Foundation of Central South University；

摘要/Abstract

摘要： In this paper we consider several fundamental operators in complex Clifford algebra and show the close relationship of these operators. We also discuss a representation of the Lie algebra sl(2; C) and get several decompositions for Clifford algebra of even dimension under the action of these fundamental operators.

关键词: complex Clifford algebra, decomposition, representation

Abstract: In this paper we consider several fundamental operators in complex Clifford algebra and show the close relationship of these operators. We also discuss a representation of the Lie algebra sl(2; C) and get several decompositions for Clifford algebra of even dimension under the action of these fundamental operators.

Key words: complex Clifford algebra, decomposition, representation

中图分类号:

O152.5

贺福利. 偶数维复Clifford代数的分解[J]. 数学季刊, 2014, 29(3): 317-324.

HE Fu-li. Decomposition for Complex Clifford Algebra of Even Dimension[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(3): 317-324.

[1]	董昌州, 李浩雪. 矩阵方程的最小二乘{P,Q,k+1}-自反解[J]. 数学季刊, 2023, 38(2): 210-220.
[2]	杨利军, 蒋淑月, 魏小鸽, 肖运海. 基于固有时间尺度分解和自适应Huber损失的脑电特征学习模型[J]. 数学季刊, 2022, 37(3): 281-300.
[3]	陈叔瑾. 在 Stein 流形中有界域的解析簇上积分表示及其应用[J]. 数学季刊, 2021, 36(4): 331-355.
[4]	沈楠, 靳正芬, 王秋雨. 求解低秩列稀疏矩阵恢复问题的嵌套交替方向乘子法[J]. 数学季刊, 2021, 36(1): 90-110.
[5]	陈叔瑾. 解析簇上Leray-Stokes型积分表示公式[J]. 数学季刊, 2018, 33(4): 395-416.
[6]	张骞, 袁永新. 秩减形式的一种新方法[J]. 数学季刊, 2018, 33(1): 68-72.
[7]	陈叔瑾. 在解析簇上(0,q),(q>0)微分形式的一般积分公式[J]. 数学季刊, 2017, 32(4): 355-370.
[8]	王见勇. l~0({X_i})型赋准范空间的共轭空间的表示问题[J]. 数学季刊, 2017, 32(3): 294-304.
[9]	亓欢歌, 程永胜, 王梦平, 武琳丽. Hom-型的q-形变Virasoro代数的Kac行列式公式[J]. 数学季刊, 2016, 31(4): 331-339.
[10]	闫春燕, 张芳芳. 有界星形圆形域上星形映射的参数表示[J]. 数学季刊, 2016, 31(3): 288-297.
[11]	张红梅. 热方程紧差分格式重叠型区域分解算法[J]. 数学季刊, 2015, 30(4): 495-502.
[12]	邓未冰, 刘浩. Cⁿ中一类具有参数表示的映照族[J]. 数学季刊, 2014, 29(3): 373-380.
[13]	韩国强, 姚海楼. 双列关联代数[J]. 数学季刊, 2014, 29(2): 244-246.
[14]	张宏波, 封平华. 具有控制策略的Ｍ/Ｍ/1多重工作休假排队[J]. 数学季刊, 2013, 28(2): 159-165.
[15]	刘爱超, 闫春燕, 段晓玲, 刘浩. 多复变中的Alexander型定理[J]. 数学季刊, 2013, 28(2): 290-296.

偶数维复Clifford代数的分解

Decomposition for Complex Clifford Algebra of Even Dimension

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价