Hochschild and cyclic (co)homology of preprojective algebras of quivers of type T

2007/10/23 by Ching-Hwa Eu, Eu, Ching-Hwa
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.0710.4176

42 pages

arxiv created 2007/10/23 · openalex publication_date 2007/10/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the additive and multiplicative structure (together with the grading) of the Hochschild homology and cohomology and the cyclic homology of preprojective algebras of types T. We also compute the calculus structure which is formed by the Hochschild homology/cohomology pair.

Citations

• Calabi-Yau Frobenius algebras
• The calculus structure of the Hochschild homology/cohomology of preprojective algebras of Dynkin quivers

Related

• Hochschild and cyclic homology of preprojective algebras of ADE quivers
• Hochschild and cyclic homology of central extensions of preprojective algebras of ADE quivers
• The calculus structure of the Hochschild homology/cohomology of preprojective algebras of Dynkin quivers
• Zeroth Hochschild homology of preprojective algebras over the integers
• The product in the Hochschild cohomology ring of preprojective algebras of Dynkin quivers