Capability of Nilpotent Lie Superalgebras of Small Dimension
Rudra Narayan Padhan, Ibrahem Yakzan Hasan, Saudamini Nayak
TL;DR
This paper introduces the concept of partial capability in Lie superalgebras and classifies all capable nilpotent Lie superalgebras of dimension up to five.
Contribution
It defines partial capability for Lie superalgebras and provides a complete classification of capable nilpotent cases in small dimensions.
Findings
Classification of all capable nilpotent Lie superalgebras of dimension ≤ 5
Introduction of the concept of partial capability
New insights into the structure of small-dimensional Lie superalgebras
Abstract
In this paper, we define partially capable Lie superalgebra. As an application we classify all capable nilpotent Lie superalgebras of dimension less than equal to five.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons