2016/06/06 by Mandal, Ashis, Mishra, Satyendra Kumar
#17A32 #17B66 #53D17 #Differential Geometry (math.DG) #FOS: Mathematics #K-Theory and Homology (math.KT) #Rings and Algebras (math.RA) #Symplectic Geometry (math.SG)
paper · doi:10.48550/arxiv.1606.01654
In this note we define a notion of Courant pair as a Courant algebra over the Lie algebra of linear derivations on an associative algebra. We study formal deformations of Courant pairs by constructing a cohomology bicomplex with coefficients in a module from the cochain complexes defining Hochschild cohomology and Leibniz cohomology.