Higher APR tilting preserves n-representation infiniteness

2015/03/29 by Yuya Mizuno, Mizuno, Yuya, Kota Yamaura +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1503.08475

openalex publication_date 2015/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that m-APR tilting preserves n-representation infiniteness for 1≤ m≤ n. Moreover, we show that these tilting modules provide different tilting modules for the corresponding higher preprojective algebras, which is (n+1)-CY algebras. We also study the interplay of the two kinds of tilting modules.

Citations

• Graded Calabi Yau algebras of dimension 3
• Stable categories of Cohen-Macaulay modules and cluster categories

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