Presented by : Mina Bigdeli (Institute for Research in Fundamental Sciences, Tehran)
Title: A gentle introduction to Isotonian Algebras
Abstract: Hibi rings are algebraic objects which arise naturally from combinatorics. In 1987, Hibi introduced a class of algebras associated to distributive lattices, which nowadays are called Hibi rings. They may be viewed as natural generalizations of polynomial rings.
In this talk we first describe the construction of Hibirings and state some properties of these rings. As a generalization of Hibi rings we then define isotonian algebras: given a pair P, Q of finite posets, we attach an algebra to this pair, called isotonian algebra. We finally state some
basic properties of these algebras. This talk is based on a joint work with J. Herzog, T.
Hibi, A. Qureshi and A. Shikama.
Colloquium Room #319, Chase Building