Endo-wild representation type and generic representations of finite posets

• Autores: David Arnold, Daniel Simson
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 219, Nº 1, 2005, págs. 1-26
• Idioma: inglés
• DOI: 10.2140/pjm.2005.219.1
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• Resumen

  • The category of ?nite-dimensional representations of a ?nite poset over an arbitrary ?eld k is shown to have k-wild representation type if and only if it has k-endo-wild representation type. Included are some characterizations of representation type in terms of existence conditions on in?nite-dimensional generic representations and their endomorphism rings.