2-Local Derivations on the Schrodinger Algebra

被引:5
作者
Wu, Qingyan [1 ]
Tang, Xiaomin [1 ]
机构
[1] Heilongjiang Univ, Dept Math, Harbin 150080, Peoples R China
基金
中国国家自然科学基金;
关键词
Schrodinger algebra; 2-local derivation; Derivation; WEIGHT MODULES;
D O I
10.1007/s41980-022-00700-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The present paper is devoted to study 2-local derivations on the Schrodinger algebra which is a finite-dimensional, non-semisimple and non-solvable Lie algebra. We first give a new example of 2-local derivation on the Heisenberg subalgebra of Schrodinger algebra which is not a derivation. Then we prove that every 2-local derivation on the Schrodinger algebra is a derivation.
引用
收藏
页码:3393 / 3404
页数:12
相关论文
共 15 条
[1]   2-Local derivations on generalized Witt algebras [J].
Ayupov, Shavkat ;
Kudaybergenov, Karimbergen ;
Yusupov, Baxtiyor .
LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (16) :3130-3140
[2]   2-Local derivations on finite-dimensional Lie algebras [J].
Ayupov, Shavkat ;
Kudaybergenov, Karimbergen ;
Rakhimov, Isamiddin .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 474 :1-11
[3]   (1+1) Schrodinger Lie bialgebras and their Poisson-Lie groups [J].
Ballesteros, A ;
Herranz, FJ ;
Parashar, P .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (17) :3445-3465
[4]   The Universal Enveloping Algebra of the Schrodinger Algebra and its Prime Spectrum [J].
Bavula, V. V. ;
Lu, T. .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2018, 61 (04) :688-703
[5]   Torsional Newton-Cartan geometry and the Schrodinger algebra [J].
Bergshoeff, Eric A. ;
Hartong, Jelle ;
Rosseel, Jan .
CLASSICAL AND QUANTUM GRAVITY, 2015, 32 (13)
[6]   ON GENERALIZED BIDERIVATIONS AND RELATED MAPS [J].
BRESAR, M .
JOURNAL OF ALGEBRA, 1995, 172 (03) :764-786
[7]  
Dobrev V. K., 1997, Reports on Mathematical Physics, V39, P201, DOI 10.1016/S0034-4877(97)88001-9
[8]   Irreducible weight modules over the Schrodinger Lie algebra in (n+1) dimensional space-time [J].
Liu, Genqiang ;
Li, Yang ;
Wang, Keke .
JOURNAL OF ALGEBRA, 2021, 575 :1-13
[9]  
PERROUD M, 1977, HELV PHYS ACTA, V50, P233
[10]   Local automorphisms and derivations on beta(H) [J].
Semrl, P .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (09) :2677-2680