Tame biextensions of derived tame hereditary algebras Original Research Article

We show that certain biextensions of derived tame hereditary algebras B of type image or image by modules of length 2 in regular parts of the derived category Db(B) are tame. This provides a common generalisation of the results in Compositio Math. 117 (1999) 209 and Contemporary Math. 229 (1998) 129. The proof rests on the reduction to a bimodule problem which degenerates to a linear matrix problem solved in St. Petersburg Math. J. 3 (1992) 973 (see also the dissertation of B. Deng and J. London Math. Soc. 40 (1989) 9).