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We consider dimensional reduction of the Bagger-Lambert-Gustavsson theory to a zero-dimensional 3-Lie algebra model and construct various stable solutions corresponding to quantized Nambu-Poisson mani...
A twisted generalization of Lie-Yamaguti algebras, called Hom-Lie-Yamaguti algebras, is defined. Hom-Lie-Yamaguti algebras generalize Hom-Lie triple systems (and subsequently ternary Hom-Nambu algebra...
We consider a simple instance of action up to homotopy. More precisely, we consider non-strict actions of DGLAs in degrees −1 and 0 on degree 1 NQ-manifolds. In a more conventional language this...
We initiate and develop the theory of finite W-superalgebras W  associated to the queer Lie superalgebra g = q(N) and a nilpotent linear func-tional  ∈ g ¯0 . We show that the definition of th...
The aim of this paper is to present the stochastic Poisson equations as-sociated to Lie algebroids. The obtained results are used for determination of stochastic Poisson equations associated to a refi...
Lie symmetries of nonlinear boundary value problems     Lie symmetries  nonlinear boundary value problems       font style='font-size:12px;'> 2011/2/28
Nonlinear boundary value problems (BVPs) by means of the classical Lie symmetry method are studied. A new definition of Lie invariance for BVPs are proposed by the gen-eralization of existing those on...
The goal of this article is twofold. First, it presents an application of the theory of invariant convex cones of Lie algebras to the study of unitary rep-resentations of Lie supergroups. Second, it p...
In this paper, we mainly study the derivation algebra of the free Lie algebra and the Chen Lie algebra generated by the abelianization H of a free group, and trace maps.
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised.
Lie Supergroups: An operator viewpoint     Lie Supergroups  operator viewpoint       font style='font-size:12px;'> 2011/2/24
Representation-theoretical Lie supergroups are introduced as supermanifolds with underlying base manifold being the Lie group associated to the even part of a given Lie superalgebra.
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised.
Almost Complex Structures on real Lie Supergroups      Structures  real Lie Supergroups        font style='font-size:12px;'> 2011/2/24
Integrable invariant almost complex structures are introduced in the setting of Lie-Hopf superalgebras. This leads to a convenient description of the subsheaf of holomorphic superfunctions in the sh...
Limites projectives fortes d'algébroïdes de Lie      Limites projectives  fortes d'algébroï  des de Lie        font style='font-size:12px;'> 2011/1/18
We define the notion of strong projective limit of Banach Lie algebroids. We study the associated structures of Fr´echet bundles and the compatibility with the different morphisms. We then use t...
Half-flat structures on decomposable Lie groups      Half-flat structures  decomposable Lie groups        font style='font-size:12px;'> 2011/2/22
Half-flat SU(3)-structures are the natural initial values for Hitchin’s evolution equations whose solutions define parallel G2-structures.
We show that every effective smooth action of a Lie group G on a manifold M is a diffeomorphism from G onto its image in Diff(M), where the image is equipped with the subset diffeology of the functio...

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