Department of Mathematics

Seminar in Cluster algebras

  •  Michael Shapiro, MSU
  •  Cluster algebras with Grassmann variables (joint with V. Ovsienko)
  •  04/18/2019
  •  3:00 PM - 4:00 PM
  •  C117 Wells Hall

We develop a version of cluster algebra extending the ring of Laurent polynomials by adding Grassmann variables. These algebras can be described in terms of “extended quivers” which are oriented hypergraphs. We describe mutations of such objects and define a corresponding commutative superalgebra. Our construction includes the notion of weighted quivers that has already appeared in different contexts. This project is a step towards understanding the notion of cluster superalgebra.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science