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A multiplication formula for module subcategories of Ext-symmetry
Author(s):
Jie
Xiao;
Fan
Xu
Journal:
Proc. Amer. Math. Soc.
137
(2009),
2517-2528.
MSC (2000):
Primary 16G20, 14M99;
Secondary 20G05
Posted:
March 17, 2009
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Additional information
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.
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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
DOI:
10.1090/S0002-9939-09-09886-4
PII:
S 0002-9939(09)09886-4
Keywords:
Ext-symmetry,
module variety,
flag variety,
composition series.
Received by editor(s):
January 18, 2008,
Received by editor(s) in revised form:
September 26, 2008
Posted:
March 17, 2009
Additional Notes:
The research was supported in part by NSF of China (No. 10631010)
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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