Algebraic properties of zigzag algebras

Michael Ehrig; Daniel Tubbenhauer

doi:10.1080/00927872.2019.1632325

Algebraic properties of zigzag algebras

Michael Ehrig, Daniel Tubbenhauer^*

^*Corresponding author for this work

School of Mathematics and Statistics

University of Zurich

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	11-36
Number of pages	26
Journal	Communications in Algebra
Volume	48
Issue number	1
DOIs	https://doi.org/10.1080/00927872.2019.1632325
Publication status	Published - 2 Jan 2020

Keywords

Chebyshev polynomials
Koszul algebras
Zigzag algebras
cellular algebras
quasi-hereditary algebras

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10.1080/00927872.2019.1632325

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Ehrig, M., & Tubbenhauer, D. (2020). Algebraic properties of zigzag algebras. Communications in Algebra, 48(1), 11-36. https://doi.org/10.1080/00927872.2019.1632325

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

keywords = "Chebyshev polynomials, Koszul algebras, Zigzag algebras, cellular algebras, quasi-hereditary algebras",

author = "Michael Ehrig and Daniel Tubbenhauer",

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

KW - Chebyshev polynomials

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KW - quasi-hereditary algebras

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JO - Communications in Algebra

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Algebraic properties of zigzag algebras

Abstract

Keywords

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