Algebraic properties of zigzag algebras

Abstract

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

arXiv comment24 pages, many figures, revised version, to appear in Comm. Algebra, comments welcome

References in corpus (6)

• Koszul duality patterns in Floer theory
• Cellular structures using ${\text{U}}_q$-tilting modules
• Diagram categories for ${\text{U}}_q$-tilting modules at roots of unity
• Two-color Soergel calculus and simple transitive 2-representations
• A Categorification of the Burau representation at prime roots of unity
• Cores of graded algebras with triangular decomposition

Cited by in corpus (1)

• 2-representations of small quotients of Soergel bimodules in infinite types