The minimal dimensions of faithful representations for Heisenberg Lie superalgebras
Wende Liu, Wende Liu
TL;DR
This paper determines the smallest possible dimensions of faithful representations for Heisenberg Lie superalgebras over algebraically closed fields of characteristic zero, focusing on their minimal faithful super-dimensions.
Contribution
It provides a complete characterization of the minimal dimensions and super-dimensions of faithful representations for Heisenberg Lie superalgebras, a topic not fully explored before.
Findings
Identified minimal faithful representation dimensions for Heisenberg Lie superalgebras.
Established formulas for super-dimensions of faithful representations.
Extended understanding of representation theory for superalgebras.
Abstract
This paper aims to characterize the minimal dimensions and super-dimensions of faithful representations for the Heisenberg Lie superalgebras over an algebraically closed field of characteristic zero.
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