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Classification of simple Harish–Chandra modules over the Ovsienko–Roger superalgebra

Munayim Dilxat, Liangyun Chen, Dong Liu

2023Proceedings of the Royal Society of Edinburgh Section A Mathematics13 citationsDOI

Abstract

In this paper, we give a new method to classify all simple cuspidal modules for the $\mathbb {Z}$ -graded and $1/2\mathbb {Z}$ -graded Ovsienko–Roger superalgebras. Using this result, we classify all simple Harish–Chandra modules over some related Lie superalgebras, including the $N=1$ BMS $_3$ superalgebra, the super $W(2,2)$ , etc.

Topics & Concepts

Simple (philosophy)SuperalgebraSupermatrixComputer scienceAlgebra over a fieldPure mathematicsMathematicsPhilosophyEpistemologyAffine Lie algebraCurrent algebraAlgebraic structures and combinatorial modelsAdvanced Topics in AlgebraNonlinear Waves and Solitons
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