Rigids as Iterated Skew Commutators of Simples |
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Authors: | Edward L Green Pu Zhang |
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Institution: | (1) Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA;(2) Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, PR China |
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Abstract: | Let be a finite-dimensional hereditary algebra of finite or tame representation type over a finite field, and let be a rigid -module. Then the element in the Ringel–Hall algebra is an iterated skew commutator of the isoclasses of simple -modules. This gives a new characterization of the rigidness of an indecomposable module over a tame hereditary algebra.The first author was partially supported by a grant from the NSF; and the second author was supported by the Doctorial Foundation of the Ministry of Education of People’s Republic of China, and the NSFC (Grant No. 10271113 and 10301033). |
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Keywords: | 16G20 17B37 |
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