# From the potential to the first Hochschild cohomology group of a cluster tilted algebra

## TL;DR

This paper provides a concrete interpretation of the first Hochschild cohomology group's dimension for certain cluster tilted algebras using a numerical invariant derived from the potential.

## Contribution

It introduces a new way to understand the Hochschild cohomology of cyclically oriented or tame cluster tilted algebras through potential-based invariants.

## Key findings

- Dimension of Hochschild cohomology linked to potential invariant
- Applicable to cyclically oriented and tame cluster tilted algebras
- Offers a concrete interpretative framework

## Abstract

The objective of this paper is to give a concrete interpretation of the dimension of the first Hochschild cohomology space of a cyclically oriented or tame cluster tilted algebra in terms of a numerical invariant arising from the potential.