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Auslander-Reiten theory of Frobenius-Lusztig kernels
Univ Stuttgart, Inst Algebra & Number Theory, D-70569 Stuttgart, Germany.ORCID iD: 0000-0002-1216-4024
2013 (English)In: Bulletin of the London Mathematical Society, ISSN 0024-6093, E-ISSN 1469-2120, Vol. 45, no 6, p. 1285-1300Article in journal (Refereed) Published
Abstract [en]

In this paper, we show that the tree class of a component of the stable Auslander–Reiten quiver of a Frobenius–Lusztig kernel is one of the three infinite Dynkin diagrams. For the special case of the small quantum group, we show that the periodic components are homogeneous tubes and that the non‐periodic components have shape ℤ[A] if the component contains a module for the infinite‐dimensional quantum group.

Place, publisher, year, edition, pages
2013. Vol. 45, no 6, p. 1285-1300
National Category
Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-359708DOI: 10.1112/blms/bdt064ISI: 000327508800016OAI: oai:DiVA.org:uu-359708DiVA, id: diva2:1245338
Available from: 2018-09-05 Created: 2018-09-05 Last updated: 2018-09-05Bibliographically approved

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Külshammer, Julian

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