Barbara Betti

Otto von Guericke Universität Magdeburg

Join-meet binomial algebras of distributive lattices

We investigate the defining ideal of the algebra over a field generated by the join-meet binomials coming from a finite distributive lattice. We characterize those lattices for which join-meet binomials are algebraically independent. In the frame of algebras with straightening laws, we discuss when the defining ideal is generated by quadrics, yielding, in particular, Koszul and Gorenstein properties.

Joint work with Takayuki Hibi.