A multiplication formula for module subcategories of Ext-symmetry
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- by Jie Xiao and Fan Xu PDF
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Abstract:
We define evaluation forms associated to objects in a module subcategory of Ext-symmetry generated by finitely many simple modules over a path algebra with relations and prove a multiplication formula for the product of two evaluation forms. It is analogous to a multiplication formula for the product of two evaluation forms associated to modules over a preprojective algebra given by Geiss, Leclerc and Schröer in Compositio Math. 143 (2007), 1313–1334.References
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Additional Information
- Jie Xiao
- Affiliation: Department of Mathematics, Tsinghua University, Beijing 100084, People’s Republic of China
- Email: jxiao@math.tsinghua.edu.cn
- Fan Xu
- Affiliation: Department of Mathematics, Tsinghua University, Beijing 100084, People’s Republic of China
- Email: fanxu@mail.tsinghua.edu.cn
- Received by editor(s): January 18, 2008
- Received by editor(s) in revised form: September 26, 2008
- Published electronically: March 17, 2009
- Additional Notes: The research was supported in part by NSF of China (No. 10631010)
- Communicated by: Martin Lorenz
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 2517-2528
- MSC (2000): Primary 16G20, 14M99; Secondary 20G05
- DOI: https://doi.org/10.1090/S0002-9939-09-09886-4
- MathSciNet review: 2497463