Local derivations on the Witt algebra in prime characteristic

被引：7

作者：

Yao, Yu-Feng ^{[1
]}

机构：

[1] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 15期

基金：

中国国家自然科学基金;

关键词：

The Witt algebra; maximal subalgebra; derivation; inner derivation; local derivation;

D O I：

10.1080/03081087.2020.1819189

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let g be the Witt algebra over an infinite field of prime characteristic p. In this paper, we discuss the properties of local derivations on g, and prove that every local derivation on g is a derivation. Moreover, it is shown that there exist some local derivations which are not derivations for the maximal subalgebra g(0) of g.

引用

页码：2919 / 2933

页数：15

共 18 条

[11] LOCAL DERIVATIONS [J].

KADISON, RV .

JOURNAL OF ALGEBRA, 1990, 130 (02) :494-509

[12]

Larson DR., 1990, Proceedings of Symposia in Pure Mathematics, V51, P187, DOI DOI 10.1090/PSPUM/051.2/1077437

[13]

Strade H, 2004, DEGRUYTER EXPOS MATH, V38, P1, DOI 10.1515/9783110197945

[14] REPRESENTATIONS OF WITT ALGEBRA [J].

STRADE, H .

JOURNAL OF ALGEBRA, 1977, 49 (02) :595-605

[15] Borel subalgebras of the Witt algebra [J].

Yao, Yu Feng ;

Chang, Hao .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 31 (08) :1348-1358

[16] Commuting variety of Witt algebra [J].

Yao, Yu-Feng ;

Chang, Hao .

FRONTIERS OF MATHEMATICS IN CHINA, 2018, 13 (05) :1179-1187

[17] The nilpotent commuting variety of the Witt algebra [J].

Yao, Yu-Feng ;

Chang, Hao .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2014, 218 (10) :1783-1791

[18] NILPOTENT ORBITS IN THE WITT ALGEBRA W1 [J].

Yao, Yu-Feng ;

Shu, Bin .

COMMUNICATIONS IN ALGEBRA, 2011, 39 (09) :3232-3241

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