| Abstract: | Abstract In order to study the Hochschild cohomology of an n-triangular algebra 𝒯 n , we construct a spectral sequence, whose terms are parametrized by the length of the trajectories of the quiver associated with 𝒯 n , and which converges to the Hochschild cohomology of 𝒯 n . We describe explicitly its components and its differentials which are sums of cup products. In case n = 3 we study some properties of the differential at level 2. We give some examples of use of the spectral sequence and recover formulas for the dimension of the cohomology groups of particular cases of triangular algebras. |
