Presenting degenerate Ringel-Hall algebras of type \(B\)
The authors investigate the structure of degenerte Ringel-Hall algebra \(h_0(Q,\sigma)\) for a Dynkin quiver \(Q\) of type \(\mathbb{A}\) with the endomorphism \(\sigma\) such that the corresponding valued quiver is of type \(\mathbb{B}\). Theorem 2.5 gives presentation of \(h_0(Q,\sigma)\) by generators and relations. The proof of this theorem uses similar presentation for the corresponding generic extension monoid algebra (Theorem 3.5).
scientific article; zbMATH DE number 6131964