The composition algebra and the composition monoid of the Kronecker quiver

• Autores: Andrew Hubery
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 72, Nº 1, 2005, págs. 137-150
• Idioma: inglés
• DOI: 10.1112/s0024610705006526
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• Resumen

  • The Kronecker quiver is considered, and the relations for the specialisation at of the generic composition algebra are given, as well as those for Reineke's composition monoid. As a corollary, it is deduced that the composition monoid is a proper factor of the specialisation of the composition algebra. A normal form is also obtained for the varieties occurring in the composition monoid in terms of Schur roots.