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arXiv · 2107.09656

Indecomposable Modules in the Grassmannian Cluster Category ${\rm CM}(B_{5,10})$

Dusko Bogdanic·Ivan-Vanja Boroja
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Abstract

In this paper we study indecomposable rank 2 modules in the Grassmannian cluster category ${\rm CM}(B_{5,10})$. This is the smallest wild case containing modules whose profile layers are $5$-interlacing. We construct all rank 2 indecomposable modules with filtration $\{i,i+2,i+4,i+6,i+8\}\mid \{i+1,i+3,i+5,i+7,i+9\}$, classify them up to isomorphism, and parameterize all infinite families of non-isomorphic rank 2 modules.

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BibTeXRIS

Dusko Bogdanic, Ivan-Vanja Boroja. 2021-07-20. Indecomposable Modules in the Grassmannian Cluster Category ${\rm CM}(B_{5,10})$. https://arxiv.org/abs/2107.09656

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