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On the representation ring of the polynomial algebra over a perfect field
Uppsala universitet.ORCID iD: 0000-0001-9177-9774
Nagoya University.
2010 (English)In: Mathematische Zeitschrift, ISSN 0025-5874, E-ISSN 1432-1823, Vol. 265, no 3, 601-615 p.Article in journal (Refereed) Published
Abstract [en]

We consider the tensor product of modules over the polynomial algebra corresponding to the usual tensor product of linear operators. We present a general description of the representation ring in case the ground field k is perfect. It is made explicit in the special cases when k is real closed respectively algebraically closed. Furthermore, we discuss the generalisation of this problem to representations of quivers. In particular the representation ring of quivers of extended Dynkin type à is provided.

Place, publisher, year, edition, pages
2010. Vol. 265, no 3, 601-615 p.
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-21720DOI: 10.1007/s00209-009-0532-9ISI: 000277603500007Scopus ID: 2-s2.0-77952419836OAI: oai:DiVA.org:mdh-21720DiVA: diva2:652514
Available from: 2013-09-30 Created: 2013-09-30 Last updated: 2014-12-08Bibliographically approved

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Publisher's full textScopushttp://dx.doi.org/10.1007/s00209-009-0532-9

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