REPRESENTATION THEORY AND RELATED TOPICS SEMINAR

Roberto Martínez Villa

ABSTRACT:  This is joint work with G. Montaño-Bermúdez. It is well-known that Koszul algebras are quadratic and that  monomial quadratic algebras and quadratic algebras of global dimension 2 are Koszul, however there is no general characterization of Koszul algebras, hence it is of interest to construct new algebras from given ones. In this talk we will give sufficient conditions on algebras R and T and on a T-R bimodule M to have a Koszul algebra of triangular form: (A_ij) with A₁₁=R, A₁₂=0, A₂₁=M, and A₂₂=T.