1School of Math and Physical Science, Xuzhou Institute of Technology, Xuzhou 221008, P. R. China 2Dept. of Mathematics, China University of Mining and Technology, Xuzhou 221116, China
Journal of Lie Theory, Tome 26 (2016) no. 3, pp. 777-786
Let W(a,b) be the semidirect product Lie algebra of the centerless Virasoro algebra and its module of the intermediate series, where a,b are elements of C. In this paper, we first determine all the skew-symmetric biderivations of W(a,b). Based on the result of biderivations, we give the explicit form of each linear commuting map on W(a,b). In particular, we find that there exist non-inner biderivations and non-standard linear commuting maps for certain W(a,b).
1
School of Math and Physical Science, Xuzhou Institute of Technology, Xuzhou 221008, P. R. China
2
Dept. of Mathematics, China University of Mining and Technology, Xuzhou 221116, China
Xiu Han; Dengyin Wang; Chunguang Xia. Linear Commuting Maps and Biderivations on the Lie Algebras W(a,b). Journal of Lie Theory, Tome 26 (2016) no. 3, pp. 777-786. http://geodesic.mathdoc.fr/item/JOLT_2016_26_3_a10/
@article{JOLT_2016_26_3_a10,
author = {Xiu Han and Dengyin Wang and Chunguang Xia},
title = {Linear {Commuting} {Maps} and {Biderivations} on the {Lie} {Algebras} {W(a,b)}},
journal = {Journal of Lie Theory},
pages = {777--786},
year = {2016},
volume = {26},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2016_26_3_a10/}
}
TY - JOUR
AU - Xiu Han
AU - Dengyin Wang
AU - Chunguang Xia
TI - Linear Commuting Maps and Biderivations on the Lie Algebras W(a,b)
JO - Journal of Lie Theory
PY - 2016
SP - 777
EP - 786
VL - 26
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2016_26_3_a10/
ID - JOLT_2016_26_3_a10
ER -
%0 Journal Article
%A Xiu Han
%A Dengyin Wang
%A Chunguang Xia
%T Linear Commuting Maps and Biderivations on the Lie Algebras W(a,b)
%J Journal of Lie Theory
%D 2016
%P 777-786
%V 26
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2016_26_3_a10/
%F JOLT_2016_26_3_a10
