# Algebraic properties of zigzag algebras

@article{Ehrig2018AlgebraicPO, title={Algebraic properties of zigzag algebras}, author={Michael Ehrig and Daniel Tubbenhauer}, journal={Communications in Algebra}, year={2018}, volume={48}, pages={11 - 36} }

Abstract We give necessary and sufficient conditions for zigzag algebras and certain generalizations of them to be (relative) cellular, quasi-hereditary or Koszul.

#### 6 Citations

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In this paper we generalize cellular algebras by allowing different partial orderings relative to fixed idempotents. For these relative cellular algebras we classify and construct simple modules, and… Expand

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