7 citations · 12 across the 3 of their papers we have counts for
Showing math.RTShow all
2 papers · 1 filter
math.RT2003★ 7 cited
Cluster algebras III: Upper bounds and double Bruhat cells
Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky
We continue the study of cluster algebras initiated in math.RT/0104151 and math.RA/0208229. We develop a new approach based on the notion of an upper cluster algebra, defined as an…
math.RT1999
Tensor product multiplicities, canonical bases and totally positive varieties
Arkady Berenstein, Andrei Zelevinsky
We obtain a family of explicit "polyhedral" combinatorial expressions for multiplicities in the tensor product of two simple finite-dimensional modules over a complex semisimple Li…