THE LINEAR $\mathfrak{aff}(n|1)$-INVARIANT DIFFERENTIAL OPERATORS ON WEIGHTED DENSITIES ON THE SUPERSPACE ℝ1|n AND $\mathfrak{aff}(n|1)$-RELATIVE COHOMOLOGY
2013 ◽
Vol 10
(04)
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pp. 1320004
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Keyword(s):
Over the (1, n)-dimensional real superspace, we classify [Formula: see text]-invariant linear differential operators acting on the superspaces of weighted densities, where [Formula: see text] is the Lie superalgebra of contact vector fields. This result allows us to compute the first differential cohomology of [Formula: see text] with coefficients in the superspace of weighted densities, vanishing on the Lie superalgebra [Formula: see text]. We explicitly give 1-cocycles spanning these cohomology spaces.
2016 ◽
Vol 13
(02)
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pp. 1650016
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2017 ◽
Vol 14
(02)
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pp. 1750022
2016 ◽
Vol 13
(01)
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pp. 1550130
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2016 ◽
Vol 13
(10)
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pp. 1650124
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2015 ◽
Vol 52
(4)
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pp. 477-503
2018 ◽
Vol 15
(05)
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pp. 1850072
2019 ◽
Vol 56
(3)
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pp. 280-296
2016 ◽
Vol 14
(01)
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pp. 1750002
2007 ◽
Vol 2007
(607)
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pp. 1-46
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2017 ◽
Vol 14
(12)
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pp. 1750174