Two-term tilting complexes for preprojective algebras of non-Dynkin type

Kimura Y, Mizuno Y (2021)
Communications in Algebra.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Kimura, YutaUniBi; Mizuno, Yuya
Abstract / Bemerkung
In this paper, we study two-term tilting complexes for preprojective algebras of non-Dynkin type. We show that there exist two families of two-term tilting complexes, which are respectively parameterized by the elements of the corresponding Coxeter group. Moreover, we provide the complete classification in the case of affine type by showing that any two-term silting complex belongs one of them. For this purpose, we also discuss the Krull-Schmidt property for the homotopy category of finitely generated projective modules over a complete ring.
Stichworte
Coxeter group; Krull-Schmidt category; preprojective algebra; tilting; theory; Weyl chamber
Erscheinungsjahr
2021
Zeitschriftentitel
Communications in Algebra
ISSN
0092-7872
eISSN
1532-4125
Page URI
https://pub.uni-bielefeld.de/record/2957053

Zitieren

Kimura Y, Mizuno Y. Two-term tilting complexes for preprojective algebras of non-Dynkin type. Communications in Algebra. 2021.
Kimura, Y., & Mizuno, Y. (2021). Two-term tilting complexes for preprojective algebras of non-Dynkin type. Communications in Algebra. https://doi.org/10.1080/00927872.2021.1962337
Kimura, Y., and Mizuno, Y. (2021). Two-term tilting complexes for preprojective algebras of non-Dynkin type. Communications in Algebra.
Kimura, Y., & Mizuno, Y., 2021. Two-term tilting complexes for preprojective algebras of non-Dynkin type. Communications in Algebra.
Y. Kimura and Y. Mizuno, “Two-term tilting complexes for preprojective algebras of non-Dynkin type”, Communications in Algebra, 2021.
Kimura, Y., Mizuno, Y.: Two-term tilting complexes for preprojective algebras of non-Dynkin type. Communications in Algebra. (2021).
Kimura, Yuta, and Mizuno, Yuya. “Two-term tilting complexes for preprojective algebras of non-Dynkin type”. Communications in Algebra (2021).

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