The stable Calabi–Yau dimension of the preprojective algebra of type ${\mathbf L}_n$
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S. O. Ivanov
Translated by: the author - St. Petersburg Math. J. 24 (2013), 475-484
- DOI: https://doi.org/10.1090/S1061-0022-2013-01248-9
- Published electronically: March 21, 2013
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Abstract:
It is proved that if the characteristic of the ground field is not equal to $2$, then the stable Calabi–Yau dimension of the preprojective algebra of type ${\mathbf L}_n$ is equal to $5$. This result contradicts certain claims by Erdmann and Skowroński related to the description of algebras whose stable Calabi–Yau dimension is $2$.References
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Bibliographic Information
- S. O. Ivanov
- Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Petrodvorets, St. Petersburg 198904, Russia
- Email: sepa_cmd@mail.ru
- Received by editor(s): October 14, 2011
- Published electronically: March 21, 2013
- Additional Notes: Supported by RFBR (grant no. 10-01-00635); by targeted federal program “Scientific and Academic Specialists for Innovations in Russia” (grant nos. 2010-1.1-111-128-033, 14.740.11.0344); and by the St. Petersburg State University research program 6.38.74.2011 “Structure theory and geometry of algebraic groups and their applications in representation theory and algebraic K-theory”.
- © Copyright 2013 American Mathematical Society
- Journal: St. Petersburg Math. J. 24 (2013), 475-484
- MSC (2010): Primary 14J35
- DOI: https://doi.org/10.1090/S1061-0022-2013-01248-9
- MathSciNet review: 3014130