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arXiv · 1010.1055

Calabi-Yau coalgebras

J. -W. He·B. Torrecillas·F. Van Oystaeyen·Y. Zhang
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Abstract

We provide a construction of minimal injective resolutions of simple comodules of path coalgebras of quivers with relations. Dual to Calabi-Yau condition of algebras, we introduce the Calabi-Yau condition to coalgebras. Then we give some descriptions of Calabi-Yau coalgebras with lower global dimensions. An appendix is included for listing some properties of cohom functors.

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J. -W. He, B. Torrecillas, F. Van Oystaeyen, Y. Zhang. 2010-10-07. Calabi-Yau coalgebras. https://arxiv.org/abs/1010.1055

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