Derived equivalences and Gorenstein dimension

2015 Fiscal Year Final Research Report

• Project/Area Number: 26887034
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Single-year Grants
• Research Field: Algebra
• Research Institution: Tokyo Denki University
• Principal Investigator: KOGA Hirotaka 東京電機大学, 情報環境学部, 助教 (30736723)
• Project Period (FY): 2014-08-29 – 2016-03-31
• Keywords: 多元環の表現論 / 導来同値 / ゴレンシュタイン次元 / アーベル圏

Outline of Final Research Achievements

We introduce the notion of complexes of finite Gorenstein projective dimension and show that a derived equivalence induces an equivalence between the full triangulated subcategories consisting of complexes of finite Gorenstein projective dimension
provided that the equivalence satisfies a certain condition.

Free Research Field

代数学