Tilting modules for the Auslander algebra of $K[x]/(x^n)$

We construct an isomorphism between the partially ordered set of tilting modules for the Auslander algebra of $K [x] / (x^{n})$ and the interval of rational permutation braids in the braid group on $n$ strands. Hence, there are only finitely many tilting modules.

Tilting modules for the Auslander algebra of $K [x] / (x^{n})$

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Tilting modules for the Auslander algebra of $K [x] / (x^{n})$

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Tilting modules for the Auslander algebra of K[x]/(xn)K[x]/(xn)

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Tilting modules for the Auslander algebra of K[x]/(xn)K[x]/(xn)

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|AI智能校验

Tilting modules for the Auslander algebra of $K [x] / (x^{n})$

讲解博客

AI智能校验

Tilting modules for the Auslander algebra of $K [x] / (x^{n})$

讲解博客

AI智能校验