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Poisson triple systems.

Authors :
Bremner, Murray R.
Elgendy, Hader A.
Source :
Linear & Multilinear Algebra. May2023, Vol. 71 Issue 7, p1145-1157. 13p.
Publication Year :
2023

Abstract

We introduce Poisson triple systems, which are vector spaces with 3 trilinear operations satisfying 9 polynomial identities of degree 5. We show that every Poisson triple system has a universal enveloping Poisson algebra. Finally, we briefly discuss operadic aspects of Poisson triple systems. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*POISSON algebras
*VECTOR spaces
*UNIVERSAL algebra

Details

Language :
English
ISSN :
03081087
Volume :
71
Issue :
7
Database :
Academic Search Index
Journal :
Linear & Multilinear Algebra
Publication Type :
Academic Journal
Accession number :
163409660
Full Text :
https://doi.org/10.1080/03081087.2022.2053039
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