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math.RT2005★ 1 cited
From triangulated categories to Lie algebras: A theorem of Peng and Xiao
Andrew Hubery
We present a simplified and more intuitive proof of a theorem of Peng and Xiao, which constructs a Lie algebra from any 2-periodic triangulated k-category (satisfying some finitene…
math.RT2004★ 8 cited
The composition algebra of an affine quiver
Andrew Hubery
We study the Hall and composition algebras of an affine quiver. In the case of a cyclic quiver, we provide generators for the central polynomial algebra described by Schiffmann and…
math.RT2003
The composition monoid and the composition algebra at q=0 of the Kronecker quiver
Andrew Hubery
We consider the Kronecker quiver and determine the relations for the specialisation to q=0 of the generic composition algebra as well as those for Reineke's composition monoid. We…