Abstract In this paper, we study the relation of the algebraic properties of the higher-order Courant bracket and Dorfman bracket on the direct sum bundle for an m-dimensional smooth manifold M, and a Lie 2-algebra which is a "categorified" version of a Lie algebra. We prove that the higher-order Courant algebroids give rise to a semistrict Lie 2-algebra, and we prove that the higher-order Dorfman algebroids give rise to a hemistrict Lie 2-algebra. Consequently, there is an isomorphism from the higher-order Courant algebroids to the higher-order Dorfman algebroids as Lie 2-algebras homomorphism
International audienceThe search for a geometric interpretation of the constrained brackets of Dirac...
International audienceThe search for a geometric interpretation of the constrained brackets of Dirac...
We study connections on higher structures such as Lie and Courant algebroids and their description a...
In this paper, we study the algebraic properties of the higher analogues of Courant algebroid struct...
This paper is devoted to studying some properties of the Courant algebroids: we explain the so-calle...
The theory of Lie algebras can be categorified starting from a new notion of `2-vector space\u27, wh...
It is shown that the non-trivial cocycles on simple Lie algebras may be used to introduce antisymmet...
For any regular Courant algebroid $E$ over a smooth manifold $M$ with characteristic distribution $F...
AbstractThis note elaborates on Th. Voronov’s construction [Th. Voronov, Higher derived brackets and...
peer reviewedThis note elaborates on Th. Voronov’s construction of L-infinity-structures via higher ...
Given a vector bundle $A\to M$ we study the geometry of the graded manifolds $T^*[k]A[1]$, including...
This note elaborates on Th. Voronov’s construction of L-infinity-structures via higher derived brack...
summary:The tangent lifts of higher order of Dirac structures and some properties have been defined ...
summary:The tangent lifts of higher order of Dirac structures and some properties have been defined ...
We construct an infinite dimensional Lie rackoid Y which hosts an integration of the standard Couran...
International audienceThe search for a geometric interpretation of the constrained brackets of Dirac...
International audienceThe search for a geometric interpretation of the constrained brackets of Dirac...
We study connections on higher structures such as Lie and Courant algebroids and their description a...
In this paper, we study the algebraic properties of the higher analogues of Courant algebroid struct...
This paper is devoted to studying some properties of the Courant algebroids: we explain the so-calle...
The theory of Lie algebras can be categorified starting from a new notion of `2-vector space\u27, wh...
It is shown that the non-trivial cocycles on simple Lie algebras may be used to introduce antisymmet...
For any regular Courant algebroid $E$ over a smooth manifold $M$ with characteristic distribution $F...
AbstractThis note elaborates on Th. Voronov’s construction [Th. Voronov, Higher derived brackets and...
peer reviewedThis note elaborates on Th. Voronov’s construction of L-infinity-structures via higher ...
Given a vector bundle $A\to M$ we study the geometry of the graded manifolds $T^*[k]A[1]$, including...
This note elaborates on Th. Voronov’s construction of L-infinity-structures via higher derived brack...
summary:The tangent lifts of higher order of Dirac structures and some properties have been defined ...
summary:The tangent lifts of higher order of Dirac structures and some properties have been defined ...
We construct an infinite dimensional Lie rackoid Y which hosts an integration of the standard Couran...
International audienceThe search for a geometric interpretation of the constrained brackets of Dirac...
International audienceThe search for a geometric interpretation of the constrained brackets of Dirac...
We study connections on higher structures such as Lie and Courant algebroids and their description a...
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