Deforming 𝔥-trivial the Lie algebra Vect(S1) inside the Lie algebra of pseudodifferential operators Ψ𝒟𝒪
2017 ◽
Vol 14
(06)
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pp. 1750082
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Keyword(s):
In this paper, we consider the action of Vect(S1) by Lie derivative on the spaces of pseudodifferential operators [Formula: see text]. We study the [Formula: see text]-trivial deformations of the standard embedding of the Lie algebra Vect(S1) of smooth vector fields on the circle, into the Lie algebra of functions on the cotangent bundle [Formula: see text]. We classify the deformations of this action that become trivial once restricted to [Formula: see text], where [Formula: see text] or [Formula: see text]. Necessary and sufficient conditions for integrability of infinitesimal deformations are given.
2016 ◽
Vol 15
(03)
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pp. 1650049
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2021 ◽
Vol 62
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pp. 53-66
1993 ◽
Vol 114
(1)
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pp. 111-130
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2019 ◽
Vol 53
(supl)
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pp. 45-86
2011 ◽
Vol 21
(01)
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pp. 1-76
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1979 ◽
Vol 27
(3)
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pp. 332-336
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