Planck尺度的Hopf代数的Poisson括符(英文)  

POISSON BRACKET ON PLANCK SCALE HOPF ALGEBRA

作　　者：田谷基[1] 

机构地区：[1]中国科学院武汉物理与数学研究所,湖北武汉430071

出　　处：《数学杂志》2004年第4期355-360,共6页Journal of Mathematics

基　　金：SupportedbyResearchSubjectofWuhanInstituteofPhysicsandMathematics(T0 60 30 5)

摘　　要：本文讨论拟微分算子象证的Witt乘积与C[x] h,GC[p]的乘积之间的关系 .得到以下结果 :具有Witt乘积的象证类Sm1 ,0 是具有普通乘积的函数类Sm1 ,0 经过对Hopf代数的乘积量子化得到的 .进一步 ,给出了C[x] h ,GC[p]上标准的辫导数的显示表示 。This paper discuss the relation between the Witt product of the symbols of pseudodifferential operators and the product of C\ ,G C\ .We obtain that the family of symbols S m 1,0 (R×R) with Witt product is the the quantization of S m 1,0 (R×R) with usual product. Furthermore, we give the explicit formula of the standard braided derivatives on C\ ,G C\ and prove that Poisson bracket on it takes the same form as the classical one.

关 键 词：POISSON括号 HOPF代数 辫导数 

分 类 号：O151.24[理学—数学]