Derived representation type and cleaving functors |
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| Authors: | Chao Zhang |
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| Affiliation: | Department of Mathematics, Guizhou University, Guiyang, P. R. China |
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| Abstract: | We introduce the notation of weakly derived tameness, and establish the equivalence of derived tameness and weakly derived tameness for algebras of finite global dimension. Moreover, we observe the relation between derived representation type and cleaving functors, and obtain a method to judge an algebra to be derived wild. As an application, we determine the derived representation type of self-injective Nakayama algebras. |
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| Keywords: | Cleaving functor derived tame derived wild self-injective Nakayama algebras |
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