Nakayama Algebras

Engin Mermut, Dokuz Eylül University.

Date: 29th of March, 2022, Tuesday, Time: 10.00 – 12.00.

Place: Dokuz Eylül University, Tınaztepe Campus, Faculty of Science, Department of Mathematics, room B206 (department seminar and meeting room).

Abstract: Continuing our theme with seriality, we shall describe for which finite connected quivers Q, the bound quiver algebra KQ/I is a Nakayama algebra, that is, a serial algebra, where K is a field, KQ is the path algebra of the quiver Q and I is an admissible ideal of KQ. We shall summarize firstly what bound quiver algebras are. See Section I.10 in [1] and Chapter 10 in [2].

References [1] Skowroński, A. and Yamagata, K. Frobenius Algebras I, Basic Representation Theory. European Mathematical Society, 2012. [2] Drozd, Y. A. and Kirichenko, V. V. Finite Dimensional Algebras. Springer, 1994.