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0111 · Aug 201119922001200920182026
2 results for QP-structures

The paper defines a new algebraic structure and shows its relation to existing ones.

problem Exploring new algebraic structures related to existing ones.
method Introducing CLWX 2-algebroids and showing their relation to QP-structures and Lie 3-algebras.
result QP-structures of degree 3 give rise to CLWX 2-algebroids, a higher analogue of Courant algebroids.

Generalized current algebras introduced by Alekseev and Strobl in two dimensions are reconstructed by a graded manifold and a graded Poisson brackets. We generalize their current algebras to higher dimensions. QP manifolds provide the unified structures of current algebras in any dimension. Current algebras give rise t…

2011-08-02abs ↗pdf ↗