Biderivations and linear commuting maps on the planar Galilean conformal algebra

In this paper, we mainly prove that each skew-symmetric biderivation of the planar Galilean conformal algebra [Formula omitted.] is inner. As an application of biderivations, we show that every linear commuting map [Formula omitted.] on the planar Galilean conformal algebra [Formula omitted.] has th...

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Bibliographic Details
Published in:Linear & multilinear algebra 2018-08, Vol.66 (8), p.1606-1618
Main Authors: Chi, Lili, Sun, Jiancai, Yang, Hengyun
Format: Article
Language:English
Subjects:
Algebra
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Summary:In this paper, we mainly prove that each skew-symmetric biderivation of the planar Galilean conformal algebra [Formula omitted.] is inner. As an application of biderivations, we show that every linear commuting map [Formula omitted.] on the planar Galilean conformal algebra [Formula omitted.] has the form [Formula omitted.] , where [Formula omitted.] .
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2017.1364340