Composite of irreducible morphisms in the bounded derived category |
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| Authors: | Claudia Chaio |
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| Institution: | a Depto de Matemática, FCEyN, Universidad Nacional de Mar del Plata, CP 7600, Mar del Plata, Argentinab Facultade de Informatica, Campus de Elviña, Universidade da Coruña, CP 15071, A Coruña, Spainc Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Funes 3350, Universidad Nacional de Mar del Plata, CP 7600, Mar del Plata, Argentina |
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| Abstract: | We study necessary and sufficient conditions for the existence of n irreducible morphisms in the bounded derived category of an Artin algebra, with non-zero composite in the n+1-power of the radical. In the case of  , the bounded derived category of an Ext-finite hereditary k-category with tilting object, such irreducible morphisms exist if and only if H is derived equivalent to a wild hereditary algebra or to a wild canonical algebra. We also characterize the cluster tilted algebras having such irreducible morphisms. |
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| Keywords: | 16G70 16G20 16E10 |
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