On deformed preprojective algebras

Crawley-Boevey WW, Kimura Y (2022)
Journal of Pure and Applied Algebra 226(12): 107130.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
Deformed preprojective algebras are generalizations of the usual preprojective algebras introduced by Crawley-Boevey and Holland, which have applications to Kleinian singularities, the Deligne-Simpson problem, integrable systems and noncommutative geometry. In this paper we offer three contributions to the study of such algebras: (1) the 2-Calabi-Yau property; (2) the unification of the reflection functors of Crawley-Boevey and Holland with reflection functors for the usual preprojective algebras; and (3) the classification of tilting ideals in 2-Calabi-Yau algebras, and especially in deformed preprojective algebras for extended Dynkin quivers.(c) 2022 Elsevier B.V. All rights reserved.
Stichworte
Preprojective algebra; Calabi-Yau algebra; Reflection functor; Tilting; ideal
Erscheinungsjahr
2022
Zeitschriftentitel
Journal of Pure and Applied Algebra
Band
226
Ausgabe
12
Art.-Nr.
107130
ISSN
0022-4049
eISSN
1873-1376
Page URI
https://pub.uni-bielefeld.de/record/2964338

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Crawley-Boevey WW, Kimura Y. On deformed preprojective algebras. Journal of Pure and Applied Algebra. 2022;226(12): 107130.
Crawley-Boevey, W. W., & Kimura, Y. (2022). On deformed preprojective algebras. Journal of Pure and Applied Algebra, 226(12), 107130. https://doi.org/10.1016/j.jpaa.2022.107130
Crawley-Boevey, W. W., and Kimura, Y. (2022). On deformed preprojective algebras. Journal of Pure and Applied Algebra 226:107130.
Crawley-Boevey, W.W., & Kimura, Y., 2022. On deformed preprojective algebras. Journal of Pure and Applied Algebra, 226(12): 107130.
W.W. Crawley-Boevey and Y. Kimura, “On deformed preprojective algebras”, Journal of Pure and Applied Algebra, vol. 226, 2022, : 107130.
Crawley-Boevey, W.W., Kimura, Y.: On deformed preprojective algebras. Journal of Pure and Applied Algebra. 226, : 107130 (2022).
Crawley-Boevey, William Walstan, and Kimura, Yuta. “On deformed preprojective algebras”. Journal of Pure and Applied Algebra 226.12 (2022): 107130.

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