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THE COMPOSITION ALGEBRA AND THE COMPOSITION MONOID OF THE KRONECKER QUIVER

Published online by Cambridge University Press:  20 July 2005

ANDREW HUBERY
ANDREW HUBERY
Affiliation:
Institut für Mathematik, Universität Paderborn, Warburger Strasse 100, 33098 Paderborn, Germanyhubery@math.upb.de
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Abstract

The Kronecker quiver $K$ is considered, and the relations for the specialisation at $q=0$ 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.

Keywords

16G2017B37
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 72 , Issue 1 , August 2005 , pp. 137 - 150
Copyright
The London Mathematical Society 2005

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