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math.AG2012★ 22 cited
Degenerate flag varieties: moment graphs and Schröder numbers
Giovanni Cerulli Irelli, Evgeny Feigin, Markus Reineke
We study geometric and combinatorial properties of the degenerate flag varieties of type A. These varieties are acted upon by the automorphism group of a certain representation of…
math.RT2012
Linear independence of cluster monomials for skew-symmetric cluster algebras
Giovanni Cerulli Irelli, Bernhard Keller, Daniel Labardini-Fragoso +1
Fomin-Zelevinsky conjectured that in any cluster algebra, the cluster monomials are linearly independent and that the exchange graph and cluster complex are independent of the choi…