Lie super-bialgebra structures on a class of generalized super <i>W</i>-algebra L

Wang, Hao; Fa, Huanxia; Li, Junbo

doi:10.1080/00927872.2018.1536204

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The Super W (2 2) Algebra1

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“…Remark 5.7. All indecomposable modules of the intermediate series and some other representations were studied in [29] and [27].…”

Section: The Super W (2 2) Algebramentioning

confidence: 99%

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

Dilxat¹,

Chen²,

Liu³

2023

Proceedings of the Royal Society of Edinburgh: Section A Mathem

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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.

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“…Remark 5.7. All indecomposable modules of the intermediate series and some other representations were studied in [29] and [27].…”

Section: The Super W (2 2) Algebramentioning

confidence: 99%