Abstract

In their study of the class of standardly stratified algebras with n irreducible representations, Ágoston et al. (to appear) have introduced two operators Σ and Ω acting on the class and satisfying the following relations: In this little note we are presenting a complete description of indecomposable linear representations of the respective semigroups by constructing the graph semigroups T n (see Dlab and Pospíchal, 2002) such that the semigroup algebras KT n and are isomorphic. The number of indecomposable representations of is 2(2n − 1) for n > 1 (of which 4 are irreducible) and all indecomposable representations of are uniserial.

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