Complexity of trivial extensions of iterated tilted algebras

Marju Purin (PhD '11)

Abstract: We study the complexity of a family of finite-dimensional self-injective k-algebras where k is an algebraically closed field. More precisely, let T be the trivial extension of an iterated tilted algebra of type H. We prove that modules over the trivial extension T all have complexities either 0, 1, 2 or infinity, depending on the representation type of the hereditary algebra H.

Journal: J. Algebra Appl., 11, 1250067 (2012).

DOI: 10.1142/S0219498812500673