Abstract
Deformation problem is an interesting problem in mathematical physics. In this paper, we show that the deformations of a Lie algebroid are governed by a differential graded Lie algebra; and under certain regularity assumptions, an L â -algebra can be constructed to govern the deformations of its Lie subalgebroid. Furthermore, by applying Y. FrĂ©gier and M. Zambonâs result (0000, Thm. 3), these structures can be combined together to govern the simultaneous deformations. Applications of our results include deformations of a foliation, deformations of a Lie subalgebra, deformations of a complex structure, and deformations of a homomorphism of Lie algebroids.
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