On the minimal dimension of faithful representations for current Heisenberg Lie superalgebras
Volume 165 / 2021
Colloquium Mathematicum 165 (2021), 41-52
MSC: Primary 17B10; Secondary 17B30.
DOI: 10.4064/cm8035-3-2020
Published online: 9 November 2020
Abstract
This paper determines the minimal dimension of a certain class of faithful representations, which we call nice, for current Heisenberg Lie superalgebras except the type $\frak {h}_{0,n,p}$. Also, an upper bound for the minimal dimension of faithful representations is given for any current Heisenberg Lie superalgebra.
