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.

Location:	C117 Wells Hall
Price:	free
Sponsor:	Department of Mathematics
Contact:	Department of Mathematics (517) 353-0844
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