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The dg Leavitt algebra, singular Yoneda category and singularity category

  • 【作者】Xiao-Wu Chen,Zhengfang Wang,Bernhard Keller,Yu Wang
  • 【刊名】Advances in Mathematics
  • 【作者单位】1Key Laboratory of Wu Wen-Tsun Mathematics, Chinese Academy of Sciences, School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, Anhui, PR China;2Department of Mathematics, Nanjing University, Nanjing 210093, Jiangsu, PR China;3Institute of Algebra and Number Theory, University of Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany;4Université de Paris, UFR de mathématiques, CNRS IMJ–PRG, 8 place Aurélie Nemours, 75013 Paris, France;5School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, PR China
  • 【年份】2024
  • 【卷号】Vol.440
  • 【页码】109541
  • 【ISSN】0001-8708
  • 【摘要】 For any finite dimensional algebra Λ given by a quiver with relations, we prove that its dg singularity category is quasi-equivalent to the perfect dg derived category of a dg Leavitt path algebra. The result might be viewed as a deformed version of ...
  • 【文献类型】 期刊
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