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The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras |
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| Authors: | Hideyuki Koie Tomohiro Itagaki Katsunori Sanada |
| Institution: | Department of Mathematics, Tokyo University of Science, Tokyo, Japan |
| Abstract: | Let T be a Hochschild extension algebra of a finite dimensional algebra A over a field K by the standard duality A-bimodule HomK(A, K). In this paper, we determine the ordinary quiver of T if A is a self-injective Nakayama algebra by means of the ?-graded second Hochschild homology group HH2(A) in the sense of Sköldberg. |
| Keywords: | Hochschild extension Hochschild (co)homology trivial extension self-injective Nakayama algebra symmetric algebra quiver |