Representations of Super $W(2,2)$ algebra $\mathfrak{L}$

Wang, Hao; Fa, Huanxia; Li, Junbo

doi:10.48550/arxiv.1705.09452

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2022

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“…Remark 5.7. All indecomposible modules of the intermediate series and some other representations were studied in [36] and [34].…”

Section: Note Thatmentioning

confidence: 99%

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

Dilxat¹,

Chen²,

Liu³

2022

Preprint

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With the Ω-operators for the Virasoro algebra [5] and the super Virasoro algebra in [10,9], we get the Ω-operators for the Ovsienko-Roger superalgebras in this paper and then use it to classify all simple cuspidal modules for the Z-graded and 1 2 Z-graded Ovsienko-Roger superalgebras. By this result, we can easily classify all simple Harish-Chandra modules over some related Lie superalgebras, including the N = 1 BMS 3 algebra, the super W (2, 2), etc.

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“…Remark 5.7. All indecomposible modules of the intermediate series and some other representations were studied in [36] and [34].…”

Section: Note Thatmentioning

confidence: 99%