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Communications in Algebra Volume 33, 2005 - Issue 8
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Original Articles

A GENERIC HALL ALGEBRA OF THE KRONECKER ALGEBRA

Csaba Szántó Faculty of Mathematics and Computer Science, “Babeş-Bolyai” University Cluj-Napoca, Chair of Algebra, Cluj-Napoca, Romania
Pages 2519-2540 | Published online: 16 Aug 2006
 
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Abstract

We construct a generic Hall algebra of the Kronecker algebra and prove that its twisted version is a polynomial algebra in infinitely many variables over the twisted generic composition algebra. The variables are explicitly given as some central elements in the generic Hall algebra.

Thus, we obtain generic versions in the Kronecker case of theorems by Hua-Xiao and Sevenhant-Van den Bergh.

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