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- W2625181920 abstract "We investigate the first differential cohomology space associated with the embedding of the affine Lie superalgebra [Formula: see text] on the [Formula: see text]-dimensional supercircle [Formula: see text] in the Lie superalgebra [Formula: see text] of superpseudodifferential operators with smooth coefficients, where [Formula: see text]. Following Ovsienko and Roger, we give explicit expressions of the basis cocycles. We study the deformations of the structure of the [Formula: see text]-module [Formula: see text]. We prove that any formal deformation is equivalent to its infinitesimal part." @default.
- W2625181920 created "2017-06-23" @default.
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- W2625181920 date "2018-08-01" @default.
- W2625181920 modified "2023-09-24" @default.
- W2625181920 title "Cohomology of 𝔞𝔣𝔣(m|1) acting on the space of superpseudodifferential operators on the supercircle S1|m" @default.
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- W2625181920 doi "https://doi.org/10.1142/s1793557118500572" @default.
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