The affine cohomology spaces and its applications
2016 ◽
Vol 13
(02)
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pp. 1650016
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Keyword(s):
We compute the [Formula: see text] cohomology space of the affine Lie superalgebra [Formula: see text] on the (1,1)-dimensional real superspace with coefficient in a large class of [Formula: see text]-modules [Formula: see text]. We apply our results to the module of weight densities and the module of linear differential operators acting on a superspace of weighted densities. This work is the generalization of a result by Basdouri et al. [The linear [Formula: see text]-invariant differential operators on weighted densities on the superspace [Formula: see text] and [Formula: see text]-relative cohomology, Int. J. Geom. Meth. Mod. Phys. 10 (2013), Article ID: 1320004, 9 pp.]
2013 ◽
Vol 10
(04)
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pp. 1320004
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2016 ◽
Vol 13
(10)
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pp. 1650124
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2017 ◽
Vol 14
(02)
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pp. 1750022
2007 ◽
Vol 2007
(607)
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pp. 1-46
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2017 ◽
Vol 14
(12)
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pp. 1750180
2016 ◽
Vol 13
(01)
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pp. 1550130
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2015 ◽
Vol 52
(4)
◽
pp. 477-503
2018 ◽
Vol 15
(05)
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pp. 1850072
2019 ◽
Vol 56
(3)
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pp. 280-296