A short proof of HRS-tilting
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- by Xiao-Wu Chen PDF
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Abstract:
We give a short proof of the tilting theorem by Happel, Reiten and Smalø: two abelian categories $\mathcal {A}$ and $\mathcal {B}$ are derived equivalent, provided that $\mathcal {B}$ is tilted from $\mathcal {A}$.References
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Additional Information
- Xiao-Wu Chen
- Affiliation: Department of Mathematics, University of Science and Technology of China, Hefei 230026, People’s Republic of China
- Address at time of publication: Institut für Mathematik, Universität Paderborn, 33095, Paderborn, Germany
- Email: xwchen@mail.ustc.edu.cn
- Received by editor(s): February 11, 2009
- Received by editor(s) in revised form: April 27, 2009, and May 29, 2009
- Published electronically: September 16, 2009
- Additional Notes: This project was supported by Alexander von Humboldt Stiftung and was also partially supported by the China Postdoctoral Science Foundation (Nos. 20070420125 and 200801230). The author also gratefully acknowledges the support of the K.C. Wong Education Foundation, Hong Kong
- Communicated by: Birge Huisgen-Zimmermann
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 455-459
- MSC (2000): Primary 18G35; Secondary 18E30
- DOI: https://doi.org/10.1090/S0002-9939-09-10101-6
- MathSciNet review: 2557163