Cohomology of 𝔞𝔣𝔣(2) acting on some modules and deformations
2017 ◽
Vol 14
(12)
◽
pp. 1750180
Keyword(s):
Over the [Formula: see text]-dimensional real superspace, we compute the cohomology space of the affine Lie superalgebra [Formula: see text] with coefficient in a large class of [Formula: see text]-modules [Formula: see text]. We apply our results to the module [Formula: see text] of weight densities and the module [Formula: see text] of linear differential operators acting on a superspace of weighted densities. We study nontrivial deformations of the natural action of the Lie superalgebra [Formula: see text] on the direct sum of the superspaces of weighted densities.
2016 ◽
Vol 13
(02)
◽
pp. 1650016
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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
2017 ◽
Vol 14
(02)
◽
pp. 1750022
2018 ◽
Vol 15
(05)
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pp. 1850072
2016 ◽
Vol 14
(01)
◽
pp. 1750002
2013 ◽
Vol 10
(04)
◽
pp. 1320004
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2014 ◽
Vol 415
(2)
◽
pp. 686-712
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